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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- 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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- int0^(oo) x e^(-x) dx=
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- int1^(4) xsqrtx dx =
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- int0^(log 5) e^(x) sqrt(e^(x)-1)/(e^(x)+3) dx =
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- int0^(pi/2) sin 2x. Log (tan x ) dx =
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- int0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =
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- int0^(pi/2) cos^(5) (x/2). Sin x dx =
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- int(-1)^(1) x^(n) (1-x) dx, when n is even =
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- int0^(1) x (1-x)^(9) dx =
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- int(-1)^(1) x^(3) ((1-x^(2)) dx
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- int0^(pi/4) tan^(2)xdx
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- int1^e log x dx =
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- int0^(pi/2) sin^(2)x dx =
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- int0^(pi) sin(x/2).cos(x/2) dx =
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- int0^(pi) sqrt x dx =
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