Integrate the function $\left(3\left(x-y\right)-2\left(x+y\right)\right)^2$

Find the integral

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

Find the integral

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

Find the integral

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

Find the integral

$\int\left(8x-12\right)\left(4x^2-12x\right)^4dx$

Find the integral

$\int\left(5x-1\right)^3dx$

Find the integral

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

Find the integral

$\int\left(7x+8\right)^{10}7dx$