log sq root integral ∫ln(√ x^3)/√ √ x dx

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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2nd way: derivative (x^x)√ x

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2 ways: sq root derivative 1/(√√(1/√x))

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

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

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2 ways: sq root √x^x

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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sq root integral ∫1/√...√√x dx with n √

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derivative Find dy/dx if y+sin(y)= cos(x)

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commutative: ab=ba via "picture"

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Screen Recording 2024-02-16 at 8.27.04 PM

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Screen Recording 2024-02-16 at 9.12.26 PM

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Screen Recording 2024-02-16 at 9.14.39 PM

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#4 2022 1st/2 ways: MIT Integration Bee Qualifying Exam

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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Screen Recording 2024-02-16 at 9.19.45 PM

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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2 ways: exp derivative a^(logb(cos(px+q))

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3 ways: ∫ (3x+11)/(x^2-x-6) dx

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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