`int_(0)^( pi/2)(1)/(x)dx`

4) int_(0)^( pi/2)(1)/(sin x+cos x)dx

Let a function f:R rarr R be defined as f(x)=x+sin x. The value of int_(0)^(2 pi)f^(-1)(x)dx will be (A)2 pi^(2)(B)2 pi^(2)+2(C)2 pi^(2)-2(D)pi^(2)

int_(0)^(pi/2)(1+cos x)dx

int_(0)^( pi/2)(x)/((1-x^(2)))dx

int_(0)^(pi/2)(1)/(6-cos x)dx

int_(0)^( pi/2)(1)/(1+cot^(2)x)dx=?

Evaluate: int_(0)^( pi/2)(1)/(3+2cos x)dx

If A=int_(0)^( pi)(cos x)/((x+2)^(2))dx, then int_(0)^( pi/2)(sin2x)/(x+1)dx is equal to

int_(0)^(pi/2)(x)/(1+cos x)dx =

int_(0)^((pi)/(2))(1)/(1+tan x)dx