Question 30
Evaluate
$$\sqrt{1+\frac1{1^2}+\frac1{2^2}}+\sqrt{1+\frac1{2^2}+\frac1{3^2}}+\cdots+\sqrt{1+\frac1{2014^2}+\frac1{2015^2}}.$$
$$\sqrt{1+\frac1{1^2}+\frac1{2^2}}+\sqrt{1+\frac1{2^2}+\frac1{3^2}}+\cdots+\sqrt{1+\frac1{2014^2}+\frac1{2015^2}}.$$