Factor the expression $\frac{\frac{x^3-1}{x^3-2x^2-3x}\frac{\frac{x+1}{x^2+x-2}}{x^2+x+1}}{6x+x^2-x^3}$

Compute the integral

$\int xdx$

Compute the integral

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

Compute the integral

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

$factor\left(x^4+x^3-6x^2-4x+8\right)$

Compute the integral

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

Compute the integral

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

$factor\left(121+198x^6+81x^{12}\right)$