The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.

Home Trigonometric Functions Integrals of Powers of Trigonometric Functions Examples Example 10
 
del.icio.us Reddit Facebook StumbleUpon MySpace Twitter Search the VIAS Library  |  Index

Example 10

EXAMPLE 10

∫ sin5 x dx.

Let u = cos x, du = -sin x dx.

07_trigonometric_functions-301.gif

If m and n are both even, the integral ∫ sinmx cosn x dx can be transformed into the integral of a sum of even powers of sin x. Then the reduction formula can be used.

                             

Home Trigonometric Functions Integrals of Powers of Trigonometric Functions Examples Example 10

Last Update: 2006-11-24