Probar que $\frac{1}{1-\sin\left(x\right)}+\frac{-1}{1+\sin\left(x\right)}=2\sec\left(x\right)^2$ no es una identidad

Calcular la integral

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

Calcular la integral

$\int\left(2x+1\right)dx$

Calcular la integral

$\int dx$

Calcular la integral

$\int1dx$

Calcular la integral

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

Calcular la integral

$\int\left(\pi^2-1\right)dx$

Calcular la integral

$\int\left(\frac{t^2}{2}+4t^3\right)dt$