The value of `int_0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dxi s`

The value of int_(0)^(1) 4x^(3){(d^(2))/(dx^(2))(1-x^(2))^(5)}dx is

The value of int_(0)^(1)(x^(2))/(1+x^(2))dx is

The value of int_(0)^(1)(x^(4)(1-x)^(4))/(1+x^(2))dx is/are (a) (22)/(7)-pi( b) (2)/(105)( c) 0 (d) (71)/(15)-(3 pi)/(2)

int_0^1 x^5sqrt((1+x^2)/(1-x^2))dx