Evaluate: `intsqrt(3-x^2)\ dx`

Explanation

Let `{I}=int sqrt{3-x^{2}} {dx}`

`=int sqrt{(sqrt{3})^{2}-x^{2}} d x`

`=frac{x}{2} sqrt{(sqrt{3})^{2}-x^{2}}+frac{(sqrt{3})^{2}}{2} sin ^{-1}(frac{x}{sqrt{3}})+C`

`=frac{x}{2} sqrt{3-x^{2}}+frac{3}{2} sin ^{-1}(frac{x}{sqrt{3}})+C`