Integrate the function cos ^3x e^(log s...

Integrate the function `cos ^3x e^(log sin x)`

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V PUBLICATION-INTEGRALS-QUESTION BANK

integrate the following functions e^x/((1+e^x)(2+e^x))
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Integrate the function 1/((x^2+1)(x^2+4))
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Integrate the function cos ^3x e^(log sin x)
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Integrate the function e^(3 log x)(x^4+1)^(-1)
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Integrate the function f'(a x+b)[f(a x+b)]^n
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Integrate the function (2+sin 2 x)/(1+cos 2 x) e^x
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Integrate the function (x^2+x+1)/((x+1)^2(x+2))
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Integrate the function tan ^(-1) sqrt((1-x)/(1+x))
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integrate the functions (sqrt(x^(2)+1)(log (x^2+1)-2 log x))/x^4
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Evaluate the definite integral int0^1 (d x)/(sqrt(1+x)-sqrt(x))
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Prove the following: int1^3 dx/(x^2(x+1) = 2/3 +log(2/3)
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Prove the following: int0^1 x e^x dx = 1
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Prove the following int-1^1 x^(17) cos^4x dx = 0
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prove int0^(pi / 2) sin ^(3)xd x=2/3
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prove int0^(pi / 4) 2 tan ^(3)x d x=1-log 2
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Prove that int0^1 sin ^(-1) x d x=(pi/2)-1
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Evaluate int0^1 e^(2-3x) dx as the limit of a sum.
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int( d x)/(e^x+e^(-x)) is equal to a)tan ^(-1)(e^x)+C b)tan ^(-1)(e^-x...
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int( cos 2 x)/(sin x+cos x)^2 d x is equal to a)-1/(sin x+cos x)+C b)l...
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If f(a+b-x) = f(x), then inta^b xf(x) dx =
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