Resolver la ecuación diferencial $\int xe^{-x^2}u=-x^2$

Calcular la integral

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

$\frac{dy}{dx}=\frac{1}{6x-42}$

$\frac{dy}{dx}=3e^{x-y}$

Calcular la integral

$\int\left(3^{5x}\right)dx$

Evaluar la integral

$\int_{-1}^2\frac{3x}{x+4}dx$

Evaluar la integral

$\int_9^4\left(\frac{x^2}{x+1}\right)dx$

Evaluar la integral

$\int_e^{\infty}\left(\frac{1}{x\left(\ln\left(x\right)\right)^3}\right)dx$