The value of `int_1^e (1+x^2 In x)/(x+x^2 In x) dx` is

The value of int_0^1(x^4(1-x)^4)/(1+x^2)\ dx is

The value of int_(0)^(1)xcos^(-1)((1-x^2)/(1+x^2)) dx (x>0) is equal to ___________.

The value of int_(0)^(oo) e^(-3x) x^(2) dx is

If int_0^1e^-(x^2)dx=a , then find the value of int_0^1x^2e^-(x^2)dx in terms of a .

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

Evaluate int_(0)^(1) x e^(-2x) dx

The value of int(1+logx)/(sqrt((x^(x))^(2)-1))dx " is "

The value of int_0^oo (dx)/(1+x^4) is (a) same as that of int_0^oo (x^2+1dx)/(1+x) (b) (pi)/(2sqrt2) (c) same as that of int_0^oo (x^2+1dx)/(1+x^4) (d) pi/sqrt2