Integrate the function $\frac{\left(\sqrt[5]{x}\sqrt{y^{3}}\right)^{10}}{\left(y^{- \frac{2}{5}}\sqrt[3]{x^{2}}\right)^5}$

Find the integral

$\int12x^5dx$

Find the integral

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

Find the integral

$\int\left(x^3+2\right)^23x^2dx$

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

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