Where is a cubic or quartic polynomial. Usually the integral leads to an "elliptic integral" and fails to be integrated.
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Using Soroban's integral.
And Simpson's Rule with 100 terms
I got,
I can set it up, but I don't see a way to integrate it . . . . . Is there a typo?
Formula: .
We have: .
Hence: .
. . Good luck!
One can, of course, do it numerically either via the trapezoid or Simpson's rule, to name two of the easier methods. I did it on my calculator and got:
about 24.3662.