Integration using Euler's formula: Difference between revisions

Revision as of 15:58, 5 April 2020

Revision as of 15:59, 5 April 2020

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:<math>\cos x = \frac{e^{ix} + e^{-ix}}{2}\quad\text{and}\quad\sin x = \frac{e^{ix}-e^{-ix}}{2i}.</math>

==Simple exampleExamples==

=== First example ===

Consider the integral

:<math>\int \cos^2 x \, dx.</math>

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\end{align}</math>

===Second example===

Consider the integral

:<math>\int \sin^2 x \cos 4x \, dx.</math>