`int_(0)^1 xsqrt(2-x) dx `

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

Evaluate : int_( a ) ^4 xsqrt(x) dx = ?

int_0^2 xsqrt(x+2)dx

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

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

(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

If I_(1)=int_(0)^(1) 2^(x^(2)) dx, I_(2)=int_(0)^(1) 2^(x^(3)) dx, I_(3)=int_(1)^(2) 2^(x^(2))dx and I_(4)=int_(1)^(2) 2^(x^(2))dx then