Matematické Fórum

stuart clark · 14. 05. 2011 16:41

$\int_{0}^{\pi}\ln\left(13-6\cos(x)\right)\textrm{d}x$

Marian · 16. 05. 2011 13:50 — Editoval Marian (16. 05. 2011 13:56)

↑ stuart clark:

This integral can be computed similarly as presented here.

stuart clark

Marian Thanks for Nice Solution.

I have solved for $\mathbf{\int_{0}^{\pi}ln\left(a+b.cos(x)\right)d\;x = \pi.ln\left(\frac{a+\sqrt{a^2-b^2}}{2}\right)}$

and Then put $a=13$ and $b=-6$ in given Integral

Matematické Fórum

#1 14. 05. 2011 16:41

hard definite integral

#2 16. 05. 2011 13:50 — Editoval Marian (16. 05. 2011 13:56)

Re: hard definite integral

#3 17. 05. 2011 04:56 — Editoval stuart clark (17. 05. 2011 04:57)

Re: hard definite integral

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