`int_0^1(dx)/((x^2-2x+2)^3)=`

int_0^1(dx)/(3x+2)

int_0^1 (x+x^2)dx

int_(0)^(1)(dx)/((2x-3))

int_0^1(1)/(2x-3) dx .

int_0^1(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

int_0^1(2-3x+x^2)dx

If int_0^(1/2)(x^2)/(1-x^2)^(3/2)dx=k/6 , then k=

int_0^1 x^2(1-x)^(3/2) dx=

int_0^1(x^2-2)/(x^2+1)dx=?