Solve the differential equation $y^{\prime}+y=e^{2x}$

Evaluate the integral

$\int_{-\infty}^0\left(xe^x\right)dx$

Evaluate the integral

$\int_{-\infty}^0xe^xdx$

Find the integral

$\int e^x\cdot\sin\left(x\right)dx$

Find the integral

$\int sec^3\left(x\right)dx$

Find the integral

$\int e^x\cdot sin\left(x\right)dx$

Find the integral

$\int\frac{ln\left(x\right)}{x^2}dx$

Find the integral

$\int x\arcsin\left(x\right)dx$