1) integral ∫x/(1+x) dx vs 2) integral ∫sin(x) cos(x)/(1+ sin(x)) dx

U Arizona: For each integral decide which of the following is needed:

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

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Swinburne U 2nd way: e^(-e^x) e^x dx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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

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lim x/e^x? as x→∞

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UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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U NorthTexas Integration Bee 2nd way sin(√x)/√x dx

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trig integral ∫cot(x) log(sin(x)) dx

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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2nd/2 ways: exp log integral ∫e^(n ln(x)) dx

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Please download the anti-fraud app.

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trig integral ∫1/(sin(ax) cos(ax)) dx

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Meow Meow is very sad and doesn’t dare tell anyone.

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JEE Main integral x^2/(a+bx)^2 dx

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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2010 #2 MIT Integration Bee

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Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4

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