If f(x) is differentiable and `int_(0)^(t^2)xf(x)dx=(2)/(5)t^5` ,then `5 f((4)/(25))` is equal to ....

If f(x) is differentiable and int_(0)^(t^(2))xf(x)dx=(2)/(5)t^(5), then f((4)/(25)) equals (a)(2)/(5)(b)-(5)/(2)(c)1(d)(5)/(2)

If f(x) is differentiable function and f(x)=x^(2)+int_(0)^(x) e^(-t) (x-t)dt ,then f)-t) equals to

Let f(x) be a differentiable function such that int_(t)^(t^(2))xf(x)dx=(4)/(3)t^(3)-(4t)/(3)AA t ge0 , then f(1) is equal to

If f(pi)=2 and int_(0)^( pi)(f(x)+f'(x))sin xdx=5 then f(0) is equal to