Find the integral $\int\left(5x^3+3x^2-4\right)e^{-6x}dx$

Compute the integral

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

Compute the integral

$\int xe^{2x}dx$

Compute the integral

$\int xe^{3x}dx$

Compute the integral

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

Compute the integral

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

Compute the integral

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

Find the derivative

$\frac{d}{dx}\left(4\cos\left(3x\right)-3\sin\left(4x\right)\right)$