Let `y=f(x)` be a quadratic function with `f'(2)=1.` Find the value of the integral `int_(2-pi)^(2+pi)f(x)*sin((x-2)/2)dx`

The value of the integral int_(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

The value of the integral int_(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

If f(x)=x+sin x, then find the value of int_(pi)^(2 pi)f^(-1)(x)dx

Let f: RvecR a n d g: RvecR be continuous function. Then the value of the integral int_(-pi/2)^(pi/2)[f(x)+f(-x)][g(x)-g(-x)] dx is

Let f:R rarr R and g:R rarr R be continuous functions.Then the value of the integral int_((pi)/(2))^((pi)/(2))[f(x)+f(-x)][g(x)-g(-x)]dx is

Let f:R rarr and g:R rarr R be continuous function.Then the value of the integral int_(-(pi)/(2))^((pi)/(2))[f(x)+f(-x)][g(x)-g(-x)]dx is pi (b) 1(c)-1(d)0

The integral int_(0)^(pi//2) f(sin 2 x)sin x dx is equal to

If f(x)=x+sinx , then find the value of int_pi^(2pi)f^(-1)(x)dx .