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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2 ways: integral x√(x-5) dx
UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))
[Tang Jiafeng] I am so disappointed in you!
2 ways: integral ∫ (4t+7) dt
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#22 2019 MIT Integration Bee Final
#16 2019 MIT Integration Bee Final
integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4
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Lamar U: implicit derivative Find y' for ...
2nd way: ∫1/(√(1-x^2)(1+arc sin(x))^2) dx
2nd way: trig integral ∫((x^2+sin^2(x)/(1+x^2)) sec^2(x) dx
alternate way: count sum 1+3+5+ ... +(2n-1)
#23 2019 MIT Integration Bee Final