`int_(0)^1 (xsqrt(1-x))dx`

int_(0)^(2) xsqrt(2-x)dx

int_(0)^(2)xsqrt(2+x)dx

The value of int_(0)^(3) xsqrt(1+x)dx , is

int_(1)^(4)xsqrt(x)dx=?

int(dx)/(xsqrt(1-x^(3)))dx=

int_1^2dx/(xsqrt(1+x))

Evaluate the following : int_(0)^(1)x.sqrt((1-x^(2))/(1+x^(2)))dx

int(1)/(x.sqrt(1-x^(3)))dx=

int(1)/(xsqrt(1-x^(3))) dx is equal to

(i) int_0^1 (dx)/sqrt(1-x^2) (ii) int_0^1 (dx)/sqrt(1+x^2) (iii) a int_1^sqrt3 (dx)/(1+x^2) b int_0^1 (dx)/(1+x^2) (iv) int_0^(2//3) (dx)/(4+9x^2) (v) int_0^1 x/(x^2+1)dx (vi) int_2^3 x/(x^2+1) dx