Calcular la integral de $f\left(x\right)=100\sqrt[10]{x^{21}}+200\sqrt{x^7}-\sqrt[3]{x^2}-2$

Calcular la integral

$\int\:\frac{-x^2+8x^2-9x+2}{\left(x^2+1\right)\left(x-3\right)^2}dx$

Calcular la integral

$\int xe^xdx$

Calcular la integral

$\int\sin\left(x\right)^4dx$

Calcular la integral

$\int\frac{x}{x^2+1}dx$

Evaluar la integral

$\int_0^2\left(x^4+2x^2-5\right)dx$

Calcular la integral

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

Calcular la integral

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