[" (b) "quad " If "int_(0)^(t^(2))xf(x)dx=(2)/(5)t^(5),t>0," then "f((4)/(25))=],[[" (A) "2/5," (B) "5/2," (C) "-2/5]]

If int_(0)^(t^(2)) x f(x) dx=(2)/(5) t^(5) , t gt 0 , then the value of f((4)/(25)) is -

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

If int_(0)^(x)f(t)dt=x^(2)+int_(x)^(1)t^(2)f(t)dt, then f'((1)/(2)) is

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 int_(0)^(1) f(t)dt=x^2+int_(0)^(1) t^2f(t)dt , then f'(1/2)is

If f(x) is differentiable and int_0^(t^2)xf(x)dx=2/5t^5, then f(4/(25)) equals (a) 2/5 (b) -5/2 (c) 1 (d) 5/2

If f(x) is differentiable and int_0^(t^2) x f(x) dx=2/5t^5, then f(4/(25)) equals (a) 2/5 (b) -5/2 (c) 1 (d) 5/2