Screen Recording 2024-02-16 at 9.12.26 PM

Screen Recording 2024-05-11 at 9.02.49 PM

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2nd way: integral ∫ log √x(x^n) dx

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2nd way: ∫1/(x(10+7log(x)+log^2(x)) dx

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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*Screen Recording 2024-05-05 at 11.12.45 PM

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Screen Recording 2024-02-16 at 9.17.40 PM

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Screen Recording 2024-05-10 at 7.55.27 PM

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2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx

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Let E & F be mutually exclusive events.

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Show d/d(x/(x+1)) = d/dx(-1/(x+1)) ...

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Which of the following statements are true, & why?

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Screen Recording 2024-05-10 at 6.31.29 PM

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Screen Recording 2024-05-10 at 5.44.02 PM

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#19 2011 MIT Integration Bee Qualifying Exam

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Screen Recording 2024-05-10 at 7.52.53 PM

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