Evaluate the following integral:

$\int \frac{\sqrt{16+(\log x{)}^2}}{x} dx$.

Evaluate the following integral:

$\int \sqrt{2ax-x^2} dx$.

Evaluate the following integral:

$\int \sqrt{3-x^2} dx$.

Evaluate the following integral:

$\int \sqrt{x^2-2x} dx$.

Evaluate the following integral:

$\int \sqrt{2x-x^2} dx$.

Evaluate the following integral:

$\int \left(x+1\right)\sqrt{x^2-x+1} dx$.

Evaluate the following:

$\int (x+1)\sqrt{2x^2+3} dx$.

Evaluate the following:

$\int (2x-5)\sqrt{2+3x-x^2} dx$.

Evaluate the following:

$\int (x+2)\sqrt{x^2+x+1} dx$