Resolver la ecuación racional $\frac{\frac{\frac{1}{2}\left(x-8\right)}{\sqrt{x}}-\left(\sqrt{x}-2\right)}{\left(x-8\right)^2}=0$

Calcular la integral

$\int e^x\cos\left(x\right)dx$

Calcular la integral

$\int xe^{2x}dx$

Calcular la integral

$\int xe^{3x}dx$

Calcular la integral

$\int3\cdot e^x\cdot xdx$

Calcular la integral

$\int7\cdot e^{8x}\cdot xdx$

Calcular la integral

$\int y^2 e^{2y}dy$

Calcular la integral

$\int\sin\left(x\right)e^xdx$