Integrate the function $e^{-t^2}$ from 0 to $\sin\left(x+\pi \right)$

Find the integral

$\int\left(\frac{\cos\left(x\right)}{x}\right)dx$

Find the integral

$\int\frac{cos\left(x\right)}{x}dx$

Find the integral

$\int x^n\cdot\cos\left(x\right)dx$

Find the integral

$\int\frac{\arctan\left(x\right)}{x}dx$

Find the integral

$\int\left(\frac{\arctan\left(x\right)}{x}\right)dx$

Find the integral

$\int\cos\left(x\right)\div xdx$

Find the integral

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