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\end{align}</math>
==
Consider the integral
:<math>\int \sin^2 x \cos 4x \, dx.</math>
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\,=\, \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.
[[Category:Integral calculus]]
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