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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- int0^(3/2) sin^(3)x dx =
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- int0^(pi/2) (tan^(-1)x)/(1+x^(2) ) dx =
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- intsqrt8^sqrt15 xsqrt(1+x^(2)) dx =
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- int0^(2pi) sqrt(1+sin(x/2) dx ) =
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- int0^(pi/2) (sin^(2) x)/((1+cosx)^(2)) dx =
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- int0^(a) (x-a)/(x+a) dx =
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- int0^(1) (dx)/(1+x^(2)) dx =
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- int1^(4) (1)/(1+sqrtx) dx =
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- int0^(pi/2) e^(x) ((1+sinx)/(1+cosx)) dx =
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- int2^(e)[1/(log x)-1/((log x)^(2))]dx
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- int0^(1) (xe^(x))/(1+x)^(2) dx =
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- int0^(1) (x-1)e^(-x) dx =
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- int(-1)^(1) (x^(2) sin^(-1)x) /(sqrt(1-x^(2)) )dx
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- int(-1)^(1) (x sin^(-1)x) /(sqrt(1-x^(2)) )dx
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- int0^(1) (xdx)/((x+sqrt(((1-x^(2)))))sqrt((1-x^(2)) ) )dx =
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- int0^1 (dx)/((x^2 +1)^(3//2))dx is equal to :
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- int(0)^(1)(dx)/(e^(x)+e^(-x)) is equal to
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- int(log(x^(2)))/(x)dx=
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- int0^(pi/4) (e ^(tanx))/(cos^(2)x) dx =
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- int1^(2) (log x)dx =
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