2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))

Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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

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2nd way: derivative (x^x)^x

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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2nd way: integral ∫x/(2ax-x^2) dx

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[Tang Jiafeng] I am so disappointed in you!

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UC Davis: differentiate y=(3x+1)^2

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2nd way: trig integral ∫1/(1+sec(x)) dx

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2 ways: integral x√(x-5) dx

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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2nd way: trig integral ∫(sin^6(x)+cos^6(x))/(sin^2(x) cos^2(x)) dx

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UC Davis: differentiate y=ln(cos^5(3x^4))

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#22 2019 MIT Integration Bee Final

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2 ways: integral ∫ (4t+7) dt

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integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4

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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)

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#16 2019 MIT Integration Bee Final

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Lamar U: implicit derivative Find y' for ...

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2nd way: trig integral ∫((x^2+sin^2(x)/(1+x^2)) sec^2(x) dx

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alternate way: count sum 1+3+5+ ... +(2n-1)

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