4" Given "f'(x)=(cos x)/(x),f((pi)/(2))=a,f((3 pi)/(2))=b." Find the value of the definite integral "int_(pi/2)^(3 pi/2)f(x)dx

Given f'(x)=(cos x)/(x),f((pi)/(2))=a,f((3 pi)/(2))=b Find the value of the definite integral int_((pi)/(7))^((pi)/(2))f(x)dx

Given f'(x) = (cos x )/( x ), ,f ((pi)/(2)) =a, f ((3pi)/(2))=b. Find the vlaue of the definite integral int _( pi//2) ^(3pi//2) f (x) 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

For f(x)=(k cos x)/(pi-2x), if x!=(pi)/(2),3, if x=(pi)/(2) then find the value of k so that f is continous at x=(pi)/(2)

Let f(x)=(k cos x)/(pi-2x) if x!=(pi)/(2) and f(x=(pi)/(2)) if x=(pi)/(2) then find the value of k if lim_(x rarr(pi)/(2))f(x)=f((pi)/(2))

Let f(x) =(kcosx)/(pi-2x) if x!=pi/2 and f(x)=3 if x=pi/2 then find the value of k if lim_(x->pi/2) f(x)=f(pi/2)

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

If f(x)=cos ec(x-(pi)/(3))cos ec(x-(pi)/(6)) then the value of int_(0)^((pi)/(2))f(x)dx is

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