# Paneer Definite Masala 7

Calculus Level 5

$\large \int_1^{(1+\sqrt5)/2} \dfrac{x^2+1}{x^4-x^2+1} \ln \left( 1 + x - \dfrac1x\right) \, dx$

If the value of the integral above is equal to $$\dfrac {a\pi^b}c \ln d$$, where $$a,b,c$$ and $$d$$ are positive integers with $$d$$ minimized, find $$a+b+2c+d$$.

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