Integrar la función $\sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}\frac{x^2-y^2}{4}$

Calcular la integral

$\int xdx$

Calcular la integral

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

Calcular la integral

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

Calcular la integral

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

Calcular la integral

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

Calcular la integral

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

Calcular la integral

$\int\left(\frac{x}{2}+3\right)^2dx$