Question

Evaluate : $\underset{-1}{\overset{1}{\int }}\log \left(x+\sqrt{x^2+1}\right)dx$

Answer 1

Answer: 0

as $\log \left(x+\sqrt{1+x^2}\right)$ is an odd function.
So $\underset{-1}{\overset{1}{\int }}\log \left(x+\sqrt{1+x^2}\right)dx=0$