Calcular el límite $\lim_{x\to0}\left(\left(\frac{1-\cos\left(x\right)}{x}\right)^2\right)$

Calcular la integral

$\int x^3sin\left(x\right)dx$

Calcular la integral

$\int\left(3x^2+1\right)^6dx$

Calcular la integral

$\int12x^5dx$

Calcular la integral

$\int xsinx\:dx$

Calcular la integral

$\int\left(\frac{\cos\left(x\right)}{x}\right)dx$

Calcular la integral

$\int\left(x^3+2\right)^23x^2dx$

Calcular la integral

$\int\frac{cos\left(x\right)}{x}dx$