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

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

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

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

The value of int_(0)^(1)({2x}-1)({3x}-1)dx , (where {} denotes fractional part opf x) is equal to :

(i) int_0^1 (dx)/(3x-4) (ii) int_1^3 (dx)/(7-2x)

int_0^1(dx)/(1-x^2)\

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

Show :(2)/(ln3)

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