Solve the quadratic equation $\frac{x^2-3x}{2}-5=\frac{x-20}{4}$

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

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