Integral of cos5 x Another Way: You can write the integral cos5 x dx cos5 x dx = (cos4

Chapter 9, Problem 20

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Integral of cos5 x Another Way: You can write the integral cos5 x dx cos5 x dx = (cos4 x) cos x dx You can convert the factor cos4 x to powers of sine by appropriate use of the Pythagorean properties of trigonometric functions. The result will be three integrals that you will be able to evaluate by the fundamental theorem. Find the area of the region under the graph of y = cos5 x from x = /2 to /2 using this technique for integration. Compare youranswer with that in 19, part c.

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