Multiply $\sqrt{7}\cdot \frac{1}{2+\sqrt{2}- 2^{\frac{1}{4}}}$

Compute the integral

$\int xdx$

Compute the integral

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

Compute the integral

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

Compute the integral

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

Compute the integral

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

Compute the integral

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

$\frac{d}{dx}\left(2x+1\right)$