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:<math>\int \sin^2 x \cos 4x \, dx \,=\, -\frac{1}{24}\sin 6x + \frac{1}{8}\sin 4x - \frac{1}{8}\sin 2x + C.</math>
==Using real parts==
In addition to Euler's identity, it can be helpful to make judicious use of the [[real part]]s of complex expressions. For example, consider the integral
:<math>\int e^x \cos x \, dx.</math>
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