Screen Recording 2023-12-02 at 3.42.17 AM

*Screen Recording 2024-05-05 at 11.12.45 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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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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2nd way: integral ∫ log √x(x^n) dx

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2 ways: derivative a^logb(m√x)

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Screen Recording 2024-05-13 at 9.55.17 PM

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Screen Recording 2024-05-11 at 8.53.58 PM

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3 ways: derivative a^(f(x)g(x))

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.

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Screen Recording 2024-05-13 at 9.57.08 PM

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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Express the sum of the digits of the number (1000^20 - 20) in decimal notation

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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2nd way: ∫1/(√x cos(√x)) dx

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