Find the integral of $f\left(x\right)=\left(x^3+x^2\right)\left(x^2+8\right)$

Compute the integral

$\int\sqrt{5x-3}dx$

Compute the integral

$\int\sqrt{2w+1}dw$

Compute the integral

$\int x\sqrt{x+1}dx$

Compute the integral

$\int\sqrt{x}dx$

Compute the integral

$\int\sqrt{x}\ln\left(x\right)dx$

Compute the integral

$\int\sqrt{3x+2}dx$

Compute the integral

$\int x\sqrt{x+2}dx$