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If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(...

If `int_0^a(dx)/(sqrt(x+a)+sqrt(x))=int_0^(pi/8)(2tantheta)/(sin2theta)d theta` then value of `' a '` is a equal to`(a >0)` (a) `3/4` (b) `pi/4` (c) `(3pi)/4` (d) `9/(16)`

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If int_0^a(dx)/(sqrt(x+a)+sqrt(x))=int_0^(pi/8)(2tantheta)/(sin2theta)dtheta, then value of ' a ' is a equal to (a >0) 3/4 (b) pi/4 (c) (3pi)/4 (d) 9/(16)

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int_0^(pi/2) d theta

If f(x)=int_0^(pi/2)ln(1+xsin^2theta)/(sin^2theta) d theta, x >= 0 then :

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Evaluate: int_0^a(dx)/(x+sqrt((a^2-x^2)))orint_0^(pi/2)(d theta)/(1+tantheta)

Evaluate: int_0^(pi//2)sqrt(costheta)sin^3theta d theta

int_0^(pi/4) (2sinthetacostheta)/(sin^4theta+cos^4theta)d theta

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