Evaluar el límite de $\frac{\frac{x}{2x-2}\left(e^x-e\right)}{x}$ cuando $x$ tiende a $1$

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

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