# Integral Cake Delivery IIIIIIII

Calculus Level 4

$\large \int_1^3 \dfrac{ \ln(x+1)}{x^2} \, dx$

If the value of the integral above is in the form of $$\ln \left( \dfrac a {b^{c/d}} \right)$$, where $$a,b,c$$ and $$d$$ are positive integers with $$b$$ minimized and $$c,d$$ coprime, find $$a+b+c+d$$.

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