`int_(0)^(a)f(x)dx`=

Prove that int_(0)^(2a)f(x)dx=int_(0)^(a)[f(a-x)+f(a+x)]dx

If f(x)=1-x+x^(2)-x^(3)+x^(4)+….oo then int_(0)^(x)f(x)dx=

If f(x) is continuous and int_(0)^(9)f(x)dx=4 , then the value of the integral int_(0)^(3)x.f(x^(2))dx is

If f(a+x)=f(x), then int_(0)^(na) f(x)dx is equal to (n in N)

if f(x) is a differential function such that f(x)=int_(0)^(x)(1+2xf(t))dt&f(1)=e , then Q. int_(0)^(1)f(x)dx=

If a is a fixed real number such that f(a-x)+f(a+x)=0, then int_(0)^(2a) f(x) dx=

If f(x)= \sum_{n=1}^{\infty }(sin nx)/(4^(n)) and int_(0)^(pi)f(x) dx="log" ((m)/(n)) , then the value of (m+n) is ….

Let f(x) be a differentiable function in the interval (0, 2) then the value of int_(0)^(2)f(x)dx

Let f(x) be a differentiable function on R such that f'(5-x)= f'(x)AA x in[0,5] with f(0)=-10& f(5)=50 ,then the value of 5int_(0)^(5)f(x)dx

If f(2a-x)=-f(x), prove that int_0^(2a)f(x)dx=0