Find the limit of $x^{\left(x^2\right)}$ as $x$ approaches 0

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

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

Find the integral

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