Simplify the quotient of powers $\frac{-1225701x^2}{15625x^6}$

Find the integral

$\int x\left(x^2-3\right)dx$

Find the integral

$\int x\left(x^2-3\right)dx$

Find the integral

$\int x\left(x^2-3\right)dx$

Find the integral

$\int\left(x^3+2\right)^23x^2dx$

Find the integral

$\int\left(x^3+2\right)^23x^2dx$

Find the integral

$\int\left(8x-12\right)\left(4x^2-12x\right)^4dx$

Find the integral

$\int\left(\frac{arctan\left(2x\right)}{x}\right)dx$