# Integral: How would you do it?

Calculus Level 5

$\large \int_0^\pi \ln( 25\sin^2 x + 16\cos^2 x) \, dx = C \pi \ln\left(\frac AB\right)$

where $$A$$ and $$B$$ are co-prime integers and $$C$$ is also an integer. $$C$$ is greater than $$1$$.

Then, find $$A^2+B^2+C^2$$.

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