# Calculust 7

Calculus Level 5

$\large \int_{1}^{\frac{1+\sqrt{5}}{2}} \dfrac{x^2+1}{x^4-x^2+1} \ln\left( 1+x-\dfrac{1}{x} \right) \, dx$

The above expression can be expressed as $$\dfrac{\pi}{a}\ln(b)$$, where $$a$$ and $$b$$ are positive integers, with $$b$$ minimized. What is the value of $$a+b$$?

×

Problem Loading...

Note Loading...

Set Loading...