Factorizar por completar el cuadrado $\frac{\frac{a^{\left(2n-3\right)}}{a^{\left(3n+1\right)}}a^{\left(n+5\right)}}{a^{\left(n-3\right)}}$

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

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