Derivar por definición la función $\frac{x^4+6x^2-7}{x^4+8x^2-9}$

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

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