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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- The integral int(-1//2)^(1//2) ([x] + ln ((1 + x)/(1 - x)))dx equals :
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- If I(m,n) = int0^1 t^m (1 + t)^n dt , m, n in R, then I(m, n) is :
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- The value of the integral int0^1 sqrt((1 - x)/(1 + x))dx is :
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- If f(x) is differentiable and int0^(t^2) x f(x) dx = 2/5 t^5, then f (...
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- If int(sin x)^(1) t^2 f(t) dt = 1 - sin x, then the value of f(1/(sqrt...
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- int(-2)^(0) {x^3 + 3x^2 + 3x + 3 + (x + 1) cos (x + 1)} dx is equal to...
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- int0^(pi//2)(dx)/(1 + tanx)=
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- I(m,n) = int0^1 x^m (ln x)^n dx equals:
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- int0^(1) sqrt(x(1-x)) dx=
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- Evaluate int(0)^(pi)(xsinx)/(1+cos^(2)x)dx
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- int0^(oo) (a^(-x)-b^(-x)) dx =
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- int(-pi/2)^(pi/2) cos theta (1+ sin theta)^(2) d theta =
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- int0^(1) (1-x)/(1+x) dx =
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- int(-1)^(1) tan^(-1) x dx =
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- int0^(pi/2) sin^(6)x. cos^(5) x dx =
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- int0^(pi) cos^(3) x dx=
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- int0^(pi/4) (tan^(4)x + tan^(2)x ) dx =
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- If f(x) is integrable on [0,a], then int0^(a) (f(x))/(f(x)+ f(a-x)) dx...
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- int0^(1) x/((1-x)^(5/4)) dx =
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- int(-1)^(1) (ax^(3)+bx)dx =0 for
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