Calcular la integral de $\frac{4x^3-12x^2-2x+10}{\frac{7}{2}x^2-7x-\frac{6}{4}}$

Calcular la integral

$\int xdx$

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

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

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

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