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:<math>\frac{1}{2}\int \frac{6 + u^2 + u^{-2}}{u + u^{-1} + u^3 + u^{-3}}\,\frac{du}{iu}
\,=\, \frac{1}{2i}\int \frac{1+6u^2 + u^4}{1 + u^2 + u^4 + u^6}\,du.</math>
Any rational function is integrable (using, for example, [[partial fractions in integration|partial fractions]]), and therefore any rational expression involving trigonometric functions may be integrated as well.cos sin 2/pnrlx =2x
[[Category:Integral calculus]]
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