Question

$\underset{-5}{\overset{5}{\int }}\log \left(\frac{130-x^3}{130+x^3}\right)dx$ is equal to

• A. $\log \frac{57}{5}$
• B. $2\underset{-5}{\overset{5}{\int }}\log \left(\frac{130-x^3}{130+x^3}\right)dx$
• C. $0$
• D. $-1$

Answer 1

The correct option is C $0$

As the function $log\left(\frac{130-x^3}{130+x^3}\right)$ is an odd function

$f(-x)=-f\left(x\right)$

The integration value is 0