The value of `int e^(x)[f(x)+f'(x)]dx` is equal to -

The value of int[f(x)g'(x)-f'(x)g(x)]dx is equal to

Let f(x) be a real valued function such that f(x)=f((121)/(x)),AA x>0. If int_(1)^(11)(f(x))/(x)dx=5, then the value of int_(1)^(121)(f(x))/(x)dx is equal to

The value of int[f(x)]^(n)f'(x)dx=

Write a value of int e^(ax){af(x)+f'(x)}dx

Let f(x)=x+e^(x), thenvalue of int_(1)^(1+e)2f^(-1)(x)dx is equal to (where f^(-1)(x) denotes inverse of f(x))

If f(x) = |(x,cos x,e^(x^(2))),(sin x,x^(2),sec x),(tan x,1,2)| , then the value of int_(-pi//2)^(pi//2) f(x) dx is equal to

If f(k - x) + f(x) = sin x , then the value of integral I = int_(0)^(k) f(x)dx is equal to

if int g(x)dx=g(x), then int g(x){f(x)+f'(x)}dx is equal to