Evaluate: `intsqrt(4x^2-5)\ dx`

Explanation

`Rightarrow int frac{d x}{sqrt{-2(x^{2}+2 x-frac{5}{2})}}`

`Rightarrow int frac{d x}{sqrt{-2[(x+1)^{2}-frac{7}{2}]}}`

`Rightarrow frac{1}{sqrt{2}} int frac{d x}{sqrt{((sqrt{frac{7}{2})^{2}-(x+1)^{2})}}}`

`=frac{1}{sqrt{2}} sin ^{-1} frac{sqrt{2}(x+1)}{sqrt{7}}+C`