diff --git "a/PL9fwy3NUQKwYd6gznbXUdYHgGQaov9O9i/eD-_lUey-64_raw.json" "b/PL9fwy3NUQKwYd6gznbXUdYHgGQaov9O9i/eD-_lUey-64_raw.json"
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+{"segments": [{"id": 1, "seek": 2600, "start": 0.0, "end": 26.0, "text": "أهلا و مرحبا اليوم ان شاء الله راح ننهي شكر تمانية techniques of integration طرق التكامل section 8-7 الجزء الثاني من هذا ال section اللي هو حكينا فيه عن ال improper integral التكاملات المعتلة حكينا في ال improper integrals كيف احنا نكامل التكامل المحدود اللي هو المعتل من إحدى حدوده مال نهاية أو سالب مال نهاية", "tokens": [10721, 3224, 15040, 4032, 3714, 2288, 5016, 3555, 995, 45595, 20498, 16472, 13412, 16606, 21984, 12602, 39319, 8717, 1863, 3224, 1829, 13412, 4117, 2288, 46811, 7649, 10632, 7512, 295, 10980, 23032, 2288, 4587, 16712, 4117, 10943, 1211, 3541, 1649, 12, 22, 25724, 11622, 38207, 6024, 104, 7649, 1829, 9154, 23758, 2423, 3541, 13672, 1829, 31439, 11331, 4117, 1829, 8315, 8978, 3224, 18871, 2423, 40651, 11573, 16712, 4117, 10943, 1211, 9307, 9673, 34268, 37977, 11331, 4117, 1829, 8315, 8978, 2423, 40651, 3572, 1124, 9122, 33911, 1975, 5016, 8315, 8717, 4117, 10943, 1211, 16712, 4117, 10943, 1211, 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"text": "إذا كان ال F أقل أوي سوى G وكان التكامل على ال G من A لما لنهاية كان converge اللي هي الكبيرة تكون converge فبالتالي الصغيرة التكامل عليها بتكون converge إذا لو لاحظت ال G هي الكبيرة لو كان التكامل عليها converge بقوم التكامل على ال F converge طبعا الكبيرة converge فبالتالي الصغيرة أكتر رح تكون converge", "tokens": [28814, 15730, 25961, 2423, 479, 5551, 4587, 1211, 34051, 1829, 8608, 2407, 7578, 460, 4032, 41361, 16712, 4117, 10943, 1211, 15844, 2423, 460, 9154, 316, 5296, 15042, 5296, 1863, 11296, 10632, 25961, 41881, 13672, 1829, 39896, 33251, 3555, 48923, 6055, 30544, 41881, 6156, 3555, 6027, 2655, 6027, 1829, 31767, 17082, 48923, 16712, 4117, 10943, 1211, 25894, 11296, 39894, 30544, 41881, 11933, 15730, 45164, 20193, 5016, 19913, 2655, 2423, 460, 39896, 33251, 3555, 48923, 45164, 25961, 16712, 4117, 10943, 1211, 25894, 11296, 41881, 4724, 4587, 20498, 16712, 4117, 10943, 1211, 15844, 2423, 479, 41881, 23032, 3555, 3615, 995, 33251, 3555, 48923, 41881, 6156, 3555, 6027, 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"ملاقيتش function أكبر منها تكون converge بروح بدور على function أصغر منها ال F أقل من ال G إذا كان ال function الصغيرة هتتكامل عليها diverse إذا كان الصغيرة diverse فلما أكبرها إيش بتصير؟ طبعا بتظلها diverse مستحيل تكون converge فبالتالي التكامل على الكبيرة بكون diverse وهذه اللي هي نمرة واحد واثنين اللي في النظرية", "tokens": [2304, 15040, 4587, 36081, 8592, 2445, 5551, 4117, 26890, 9154, 11296, 6055, 30544, 41881, 4724, 32887, 5016, 47525, 13063, 15844, 2445, 5551, 9381, 17082, 2288, 9154, 11296, 2423, 479, 5551, 4587, 1211, 9154, 2423, 460, 11933, 15730, 25961, 2423, 2445, 31767, 17082, 48923, 8032, 2655, 2655, 4117, 10943, 1211, 25894, 11296, 9521, 11933, 15730, 25961, 31767, 17082, 48923, 9521, 6156, 1211, 15042, 5551, 4117, 26890, 11296, 11933, 1829, 8592, 39894, 9381, 13546, 22807, 23032, 3555, 3615, 995, 39894, 19913, 1211, 11296, 9521, 3714, 14851, 5016, 26895, 6055, 30544, 41881, 6156, 3555, 6027, 2655, 6027, 1829, 16712, 4117, 10943, 1211, 15844, 33251, 3555, 48923, 4724, 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تكيب درجة ال bus تساوي درجة المقام بناخد المعاملات إذا ال limit يساوي ثلاثة طيب إذا فعلا التنتين قد السامريات بنروح بنجيب التكامل dx على x من اتنين لما لنهاية طبعا التكامل هال diverge لإن P integral P تساوي واحد إذا ال by limit", "tokens": [6027, 7649, 11296, 1829, 5296, 15042, 8717, 11242, 3555, 11296, 20666, 21454, 4724, 1829, 9381, 13546, 38637, 1211, 5718, 104, 3660, 2031, 6055, 4117, 1829, 3555, 15844, 2031, 6055, 4117, 1829, 3555, 11778, 47341, 3660, 2423, 1255, 6055, 3794, 995, 45865, 11778, 47341, 3660, 9673, 4587, 10943, 44945, 47283, 3215, 9673, 3615, 10943, 1211, 9307, 11933, 15730, 2423, 4948, 7251, 3794, 995, 45865, 38637, 1211, 5718, 104, 3660, 23032, 1829, 3555, 11933, 15730, 6156, 3615, 15040, 16712, 29399, 9957, 12174, 3215, 21136, 10943, 16572, 9307, 44945, 32887, 5016, 44945, 7435, 1829, 3555, 16712, 4117, 10943, 1211, 30017, 15844, 2031, 9154, 1975, 2655, 1863, 9957, 5296, 15042, 5296, 1863, 11296, 10632, 23032, 3555, 3615, 995, 16712, 4117, 10943, 1211, 8032, 6027, 18558, 432, 5296, 28814, 1863, 430, 11573, 430, 6055, 3794, 995, 45865, 36764, 24401, 11933, 15730, 2423, 538, 4948], "avg_logprob": -0.27633929337774005, "compression_ratio": 1.8704453441295548, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 1648.85, "end": 1649.39, "word": "الانهاي", "probability": 0.6148681640625}, {"start": 1649.39, "end": 1649.55, "word": " لما", "probability": 0.58074951171875}, {"start": 1649.55, "end": 1649.91, "word": " نضبها", "probability": 0.91650390625}, {"start": 1649.91, "end": 1650.29, "word": " بالhigh", "probability": 0.7412109375}, {"start": 1650.29, "end": 1650.59, "word": " بيصير", "probability": 0.6953125}, {"start": 1650.59, "end": 1650.91, "word": " ثلاثة", "probability": 0.79296875}, {"start": 1650.91, "end": 1651.07, "word": " x", "probability": 0.372802734375}, {"start": 1651.07, "end": 1651.49, "word": " تكيب", "probability": 0.77587890625}, {"start": 1651.49, "end": 1651.87, "word": " على", "probability": 0.75}, {"start": 1651.87, "end": 1652.13, "word": " x", "probability": 0.81201171875}, {"start": 1652.13, "end": 1652.57, "word": " تكيب", "probability": 0.9898681640625}, {"start": 1652.57, "end": 1653.05, "word": " درجة", "probability": 0.9469401041666666}, {"start": 1653.05, "end": 1653.17, "word": " ال", "probability": 0.626953125}, {"start": 1653.17, "end": 1653.31, "word": " bus", "probability": 0.59814453125}, {"start": 1653.31, "end": 1653.61, "word": " تساوي", "probability": 0.8828125}, {"start": 1653.61, "end": 1653.89, "word": " درجة", "probability": 0.9747721354166666}, {"start": 1653.89, "end": 1654.35, "word": " المقام", "probability": 0.833984375}, {"start": 1654.35, "end": 1655.15, "word": " بناخد", "probability": 0.7943522135416666}, {"start": 1655.15, "end": 1655.77, "word": " المعاملات", "probability": 0.93935546875}, {"start": 1655.77, "end": 1655.97, "word": " إذا", "probability": 0.44781494140625}, {"start": 1655.97, "end": 1656.13, "word": " ال", "probability": 0.76953125}, {"start": 1656.13, "end": 1656.35, "word": " limit", "probability": 0.87353515625}, {"start": 1656.35, "end": 1656.87, "word": " يساوي", "probability": 0.8616943359375}, {"start": 1656.87, "end": 1657.99, "word": " ثلاثة", "probability": 0.842138671875}, {"start": 1657.99, "end": 1658.57, "word": " طيب", "probability": 0.7418619791666666}, {"start": 1658.57, "end": 1658.85, "word": " إذا", "probability": 0.729248046875}, {"start": 1658.85, "end": 1659.57, "word": " فعلا", "probability": 0.75}, {"start": 1659.57, "end": 1660.01, "word": " التنتين", "probability": 0.575927734375}, {"start": 1660.01, "end": 1660.19, "word": " قد", "probability": 0.749267578125}, {"start": 1660.19, "end": 1660.91, "word": " السامريات", "probability": 0.841064453125}, {"start": 1660.91, "end": 1662.35, "word": " بنروح", "probability": 0.880859375}, {"start": 1662.35, "end": 1662.67, "word": " بنجيب", "probability": 0.85693359375}, {"start": 1662.67, "end": 1663.23, "word": " التكامل", "probability": 0.971923828125}, {"start": 1663.23, "end": 1663.77, "word": " dx", "probability": 0.70556640625}, {"start": 1663.77, "end": 1664.09, "word": " على", "probability": 0.6826171875}, {"start": 1664.09, "end": 1664.43, "word": " x", "probability": 0.984375}, {"start": 1664.43, "end": 1664.71, "word": " من", "probability": 0.962890625}, {"start": 1664.71, "end": 1664.99, "word": " اتنين", "probability": 0.78045654296875}, {"start": 1664.99, "end": 1665.25, "word": " لما", "probability": 0.84765625}, {"start": 1665.25, "end": 1665.79, "word": " لنهاية", "probability": 0.8604736328125}, {"start": 1665.79, "end": 1666.35, "word": " طبعا", "probability": 0.9588623046875}, {"start": 1666.35, "end": 1666.79, "word": " التكامل", "probability": 0.971435546875}, {"start": 1666.79, "end": 1666.99, "word": " هال", "probability": 0.40887451171875}, {"start": 1666.99, "end": 1667.51, "word": " diverge", "probability": 0.595703125}, {"start": 1667.51, "end": 1667.85, "word": " لإن", "probability": 0.8997395833333334}, {"start": 1667.85, "end": 1668.09, "word": " P", "probability": 0.595703125}, {"start": 1668.09, "end": 1668.49, "word": " integral", "probability": 0.59228515625}, {"start": 1668.49, "end": 1668.75, "word": " P", "probability": 0.96728515625}, {"start": 1668.75, "end": 1669.29, "word": " تساوي", "probability": 0.8385009765625}, {"start": 1669.29, "end": 1670.05, "word": " واحد", "probability": 0.941162109375}, {"start": 1670.05, "end": 1670.59, "word": " إذا", "probability": 0.84033203125}, {"start": 1670.59, "end": 1671.25, "word": " ال", "probability": 0.80615234375}, {"start": 1671.25, "end": 1671.61, "word": " by", "probability": 0.69091796875}, {"start": 1671.61, "end": 1671.95, "word": " limit", "probability": 0.97021484375}], "temperature": 1.0}, {"id": 70, "seek": 170370, "start": 1677.2, "end": 1703.7, "text": "تكامل من 1 لما لنهاية 1 على الجذر التربيهي ايقوس 2x زاد x ايش ايجا عندنا ايه ايجا عندنا ايه ايش exponential يعني تعالوا نشوف هل ممكن احنا برضه نستخدم limit comparison test اه ممكن الان طبعا بدي اقارن واحد بنفقنا واحد المقام مين أسرع ال E ولا ال X طبعا ال E أسرع من ال X ال E ال E بتطلع هي ال E بتيجي اش هيك بينما ال X اش بتيجي تحكم", "tokens": [2655, 4117, 10943, 1211, 9154, 502, 5296, 15042, 5296, 1863, 3224, 995, 10632, 502, 15844, 25724, 8848, 2288, 16712, 2288, 21292, 3224, 1829, 1975, 1829, 4587, 41779, 568, 87, 30767, 18513, 2031, 1975, 1829, 8592, 1975, 1829, 7435, 995, 43242, 8315, 1975, 1829, 3224, 1975, 1829, 7435, 995, 43242, 8315, 1975, 1829, 3224, 1975, 1829, 8592, 21510, 37495, 22653, 37279, 6027, 14407, 8717, 8592, 38688, 8032, 1211, 3714, 43020, 1975, 5016, 8315, 4724, 43042, 3224, 8717, 14851, 9778, 40448, 4948, 9660, 1500, 1975, 3224, 3714, 43020, 2423, 7649, 23032, 3555, 3615, 995, 4724, 16254, 1975, 4587, 9640, 1863, 36764, 24401, 44945, 5172, 4587, 8315, 36764, 24401, 9673, 4587, 10943, 3714, 9957, 5551, 3794, 2288, 3615, 2423, 462, 49429, 2423, 1783, 23032, 3555, 3615, 995, 2423, 462, 5551, 3794, 2288, 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0.6937662760416666}, {"start": 1679.8, "end": 1680.36, "word": " التربيهي", "probability": 0.6818359375}, {"start": 1680.36, "end": 1680.66, "word": " ايقوس", "probability": 0.4000396728515625}, {"start": 1680.66, "end": 1681.16, "word": " 2x", "probability": 0.69189453125}, {"start": 1681.16, "end": 1681.42, "word": " زاد", "probability": 0.666015625}, {"start": 1681.42, "end": 1681.6, "word": " x", "probability": 0.84228515625}, {"start": 1681.6, "end": 1681.82, "word": " ايش", "probability": 0.6865234375}, {"start": 1681.82, "end": 1682.06, "word": " ايجا", "probability": 0.564117431640625}, {"start": 1682.06, "end": 1682.38, "word": " عندنا", "probability": 0.7000732421875}, {"start": 1682.38, "end": 1682.74, "word": " ايه", "probability": 0.7508951822916666}, {"start": 1682.74, "end": 1683.3, "word": " ايجا", "probability": 0.7388916015625}, {"start": 1683.3, "end": 1683.54, "word": " عندنا", "probability": 0.940673828125}, {"start": 1683.54, "end": 1683.66, "word": " ايه", "probability": 0.7911783854166666}, {"start": 1683.66, "end": 1683.76, "word": " ايش", "probability": 0.8961588541666666}, {"start": 1683.76, "end": 1684.14, "word": " exponential", "probability": 0.6455078125}, {"start": 1684.14, "end": 1684.7, "word": " يعني", "probability": 0.5277099609375}, {"start": 1684.7, "end": 1685.5, "word": " تعالوا", "probability": 0.82275390625}, {"start": 1685.5, "end": 1685.82, "word": " نشوف", "probability": 0.9925130208333334}, {"start": 1685.82, "end": 1686.2, "word": " هل", "probability": 0.9580078125}, {"start": 1686.2, "end": 1686.54, "word": " ممكن", "probability": 0.978271484375}, {"start": 1686.54, "end": 1686.82, "word": " احنا", "probability": 0.8824869791666666}, {"start": 1686.82, "end": 1687.1, "word": " برضه", "probability": 0.9607747395833334}, {"start": 1687.1, "end": 1687.68, "word": " نستخدم", "probability": 0.9918212890625}, {"start": 1687.68, "end": 1687.98, "word": " limit", "probability": 0.5654296875}, {"start": 1687.98, "end": 1688.56, "word": " comparison", "probability": 0.92626953125}, {"start": 1688.56, "end": 1688.94, "word": " test", "probability": 0.9423828125}, {"start": 1688.94, "end": 1689.28, "word": " اه", "probability": 0.7303466796875}, {"start": 1689.28, "end": 1689.7, "word": " ممكن", "probability": 0.987060546875}, {"start": 1689.7, "end": 1691.1, "word": " الان", "probability": 0.61566162109375}, {"start": 1691.1, "end": 1691.48, "word": " طبعا", "probability": 0.9398193359375}, {"start": 1691.48, "end": 1691.7, "word": " بدي", "probability": 0.889404296875}, {"start": 1691.7, "end": 1692.1, "word": " اقارن", "probability": 0.981689453125}, {"start": 1692.1, "end": 1692.4, "word": " واحد", "probability": 0.986572265625}, {"start": 1692.4, "end": 1692.94, "word": " بنفقنا", "probability": 0.62091064453125}, {"start": 1692.94, "end": 1693.32, "word": " واحد", "probability": 0.985107421875}, {"start": 1693.32, "end": 1693.96, "word": " المقام", "probability": 0.9763997395833334}, {"start": 1693.96, "end": 1694.6, "word": " مين", "probability": 0.89697265625}, {"start": 1694.6, "end": 1695.3, "word": " أسرع", "probability": 0.8380126953125}, {"start": 1695.3, "end": 1695.7, "word": " ال", "probability": 0.87744140625}, {"start": 1695.7, "end": 1695.88, "word": " E", "probability": 0.66796875}, {"start": 1695.88, "end": 1696.14, "word": " ولا", "probability": 0.8232421875}, {"start": 1696.14, "end": 1696.34, "word": " ال", "probability": 0.93115234375}, {"start": 1696.34, "end": 1696.58, "word": " X", "probability": 0.88037109375}, {"start": 1696.58, "end": 1696.94, "word": " طبعا", "probability": 0.9228515625}, {"start": 1696.94, "end": 1697.1, "word": " ال", "probability": 0.97021484375}, {"start": 1697.1, "end": 1697.24, "word": " E", "probability": 0.98876953125}, {"start": 1697.24, "end": 1697.68, "word": " أسرع", "probability": 0.9866943359375}, {"start": 1697.68, "end": 1697.84, "word": " من", "probability": 0.9951171875}, {"start": 1697.84, "end": 1698.0, "word": " ال", "probability": 0.9267578125}, {"start": 1698.0, "end": 1698.18, "word": " X", "probability": 0.98388671875}, {"start": 1698.18, "end": 1698.48, "word": " ال", "probability": 0.93896484375}, {"start": 1698.48, "end": 1698.74, "word": " E", "probability": 0.98583984375}, {"start": 1698.74, "end": 1698.98, "word": " ال", "probability": 0.353759765625}, {"start": 1698.98, "end": 1699.12, "word": " E", "probability": 0.9853515625}, {"start": 1699.12, "end": 1699.58, "word": " بتطلع", "probability": 0.9385986328125}, {"start": 1699.58, "end": 1699.86, "word": " هي", "probability": 0.68701171875}, {"start": 1699.86, "end": 1700.48, "word": " ال", "probability": 0.425537109375}, {"start": 1700.48, "end": 1700.62, "word": " E", "probability": 0.98779296875}, {"start": 1700.62, "end": 1701.0, "word": " بتيجي", "probability": 0.90576171875}, {"start": 1701.0, "end": 1701.26, "word": " اش", "probability": 0.6353759765625}, {"start": 1701.26, "end": 1701.68, "word": " هيك", "probability": 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462, 23032, 3555, 3615, 995, 6055, 33753, 11933, 1829, 33599, 25724, 8848, 2288, 37495, 22653, 4724, 1829, 9566, 1211, 3615, 462, 5551, 3794, 1783], "avg_logprob": -0.1534514929821242, "compression_ratio": 1.6825396825396826, "no_speech_prob": 0.0, "words": [{"start": 1703.99, "end": 1704.59, "word": "وبالتالي", "probability": 0.9353515625}, {"start": 1704.59, "end": 1704.71, "word": " ال", "probability": 0.2113037109375}, {"start": 1704.71, "end": 1704.91, "word": " E", "probability": 0.61767578125}, {"start": 1704.91, "end": 1705.67, "word": " أكبر", "probability": 0.94580078125}, {"start": 1705.67, "end": 1705.93, "word": " إياش", "probability": 0.5792236328125}, {"start": 1705.93, "end": 1706.07, "word": " من", "probability": 0.97900390625}, {"start": 1706.07, "end": 1706.23, "word": " ال", "probability": 0.7548828125}, {"start": 1706.23, "end": 1706.35, "word": " A", "probability": 0.7392578125}, {"start": 1706.35, "end": 1706.57, "word": " أو", "probability": 0.890625}, {"start": 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