Solve the integral of logarithmic functions $\int y^3\ln\left(y\right)dy$

Compute the integral

$\int xdx$

Compute the integral

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

Find the derivative

$\frac{d}{dx}\left(x^x\right)$

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

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