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thetaquad I=int(0)^(x)(udu)/(1+sin u)dx...

thetaquad I=int_(0)^(x)(udu)/(1+sin u)dx

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int_(0)^( pi)(dx)/(1+sin x)

int_(0)^(pi) dx/(1-sin x)=

int_(0)^(pi)(x sin x)/(1-sin x)dx=

int_(0)^( pi)(x sin x)/(1+sin x)dx

Given I=int_(0)^( pi/2)(x)/(sin x)dx, quad J=int_(0)^(1)(tan^(-1)x)/(x)dx. Then value of (I)/(J) is:

Let I=int_(0)^((pi)/(2))((sin x)/(x))dx, then

Compute the integral I = int_(0)^(1) ("arc sin x")/(sqrt(1 - x^(2)))dx

Evaluate : I = int_(0)^(2 pi)(sin x)dx =