Solve the trigonometric integral $\int\frac{1}{2\sin\left(t\right)+\cos\left(t\right)+5}dt$

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

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