The Norbert H and Jason M Kluga science, math and engineering blog. Dedicated to the science discussions I would have with my grandfather Norbert and great uncle John and to the artistic influence of my grandmother Lorraine. And most of all, to my late mother who grounded me and nurtured my passion for science, engineering and music.
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integral of cos(x)^3
Pretty straightforward:
Use 1) the Pythagorean identity that relates cos^2(x) = 1 - sin^2(x) to set up the 2) u-substitution, which mirrors trigonometric substitution. Kind of the reverse of it.