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V PUBLICATION-INTEGRALS-QUESTION BANK
- Integrate the function (sin ^8 x-cos ^8 x)/(1-2 sin ^2 x cos ^2 x)
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- Integrate the functions 1/(cos (x+a) cos (x+b))
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- Integrate the following functions x^3/sqrt(1-x^8)
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- 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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