Find the integral of $\frac{x^4-6x^3+12x^2+6}{x^3-6x^2+12x-8}$

Compute the integral

$\int xdx$

$\frac{x^5-x^4+x^2-2}{x^2+1}$

$\frac{x^3+x+5}{x+1}$

Compute the integral

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

Compute the integral

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

Compute the integral

$\int x^2\sin\left(x\right)dx$

Compute the integral

$\int x^2\cos\left(2x\right)dx$