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

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

Then, find \(A^2+B^2+C^2 \).

×

Problem Loading...

Note Loading...

Set Loading...