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In [[integral calculus]], [[complex number]]s and [[Euler's formula]] may be used to evaluate [[integral]]s involving [[trigonometric functions]]. Using Euler's formula, any trigonometric function may be written in terms of ''e''<sup>''ix''</sup> and ''e''<sup>−''ix''</sup>, and then integrated. This technique is often simpler and faster than using [[trigonometric identities]] or [[integration by parts]], and is sufficiently powerful to integrate any [[rational expression]] involving trigonometric functions.
==Euler's formula==
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