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MODERN PUBLICATION-DEFINITE INTEGRALS-RECENT COMPETITIVE QUESTIONS
- If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...
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- If [x] denotes the greatest integer function, then : ""(2)^(4)([x] -...
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- int1^(e^(17//2)) (cos(pi log x))/(x) dx =
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- int0^1 x(1 - x)^(3//2) dx =
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- int0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =
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- int0^1 (x^4 + 2x^2 + 1)d(x^2 + 1) =
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- If I(1)= int(0)^(pi//2) x sin x dx and I(2)=int(0)^(pi//2) x cos x dx,...
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- The value of int(-1)^(2) (|x|)/(x) dx is :
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- int0^pi (cos^4 x)/(cos^4 x + sin^4 x) dx =
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- If f(x) = f(pi + e - x) and inte^(pi) f(x) dx = 2/(e + pi), then inte^...
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- The value of the integral int(-pi//4)^(pi//4)log(sec theta-tan theta...
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- The interval I such that int0^1 (dx)/(sqrt(1 + x^4)) in I is given by ...
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- int0^(pi//2) log(tan x)dx =
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- The value of int(-2)^(2)(ax^(3)+bx+c) dx depends on the
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- int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to
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- int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to
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- int(-1)^(1) (x^(27) cos x + e^x) dx =
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- The value of the integral int0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n...
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- If int0^(pi) x f (sin x) dx = A int0^(pi//2) f (sin x) dx, then A is :
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- int1^e log x dx =
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