Integrate $\int x\sqrt{2\sin\left(x\right)^2+2\cos\left(x\right)^2}dx$

Compute the integral

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

Find the integral

$\int\left(x+1\right)dx$

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

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

Find the integral

$\int\left(x+1\right)^2dx+1$