Encontrar la derivada de $\frac{\left(y+1\right)^2}{48}+\frac{-\left(x+2\right)^2}{27}=1$

Calcular la integral

$\int\frac{x}{\sqrt{x^2+9}}dx$

Calcular la integral

$\int\frac{dx}{x^2\sqrt{4-x^2}}$

Calcular la integral

$\int\frac{1}{\sqrt{x^2-36}}dx$

Calcular la integral

$\int\frac{1}{\sqrt{1-x^2}}dx$

Calcular la integral

$\int\frac{x}{\sqrt{16-x^2}}dx$

Calcular la integral

$\int\frac{1}{\sqrt{1-5x}}dx$

Calcular la integral

$\int\frac{x^3}{\sqrt{x^2+4}}dx$