Solve 21/2sqrt{4^{2}-a^2}-a^2/2log(n+sqrt{n^2-a^2})

$$\frac { 21 } { 2 } \sqrt { 4 ^ { 2 } - a ^ { 2 } } - \frac { a ^ { 2 } } { 2 } \log ( n + \sqrt { n ^ { 2 } - a ^ { 2 } } )$$

Factor

$$\frac{-a^{2}\log_{10}\left(\sqrt{n^{2}-a^{2}}+n\right)+21\sqrt{16-a^{2}}}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{21\sqrt{16-a^{2}}-a^{2}\log_{10}\left(n+\sqrt{n^{2}-a^{2}}\right)}{2}$$

Evaluate

$$\frac{-a^{2}\log(\sqrt{n^{2}-a^{2}}+n)+21\sqrt{16-a^{2}}}{2}$$