`int_0^4 (2x-1) dx`

Evaluate: int_0^1 1/(2x-3)dx

Evaluate the following integrals as limit of sums: int_0^2(x+4)dx (ii) int_0^2(2x+1)dx

int_0^2(3x^2-4)dx

Evaluate the following integral: int_0^4|x-1|dx

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dx . Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

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

int_0^2||x-1|-x|dx

Evaluate the integrals int_0^1x/(x^2+1)dx

Let u=int_0^oo (dx)/(x^4+7x^2+1 and v=int_0^x (x^2dx)/(x^4+7x^2+1) then

If 2int_0^1 tan^(-1)x dx= int_0^1 cot^(-1)(1-x+x^2) dx then int_0^1 tan^(-1)(1-x+x^2) dx=