6.2 Trigonometric Integrals and Substitutions
x+ sin2x+ sin4x 8 Example 6.2.3 Find R sin2 xdx: Solution. Using the trigonometric identity sin2 x= 1 cos2x 2 we nd Z sin2 xdx= Z 1 cos2x 2 dx = 1 2 Z (1 cos2x)dx = 1 2 x sin2x 2 + C Integrals of the form R sinnxcosmxdx Example 6.2.4 Find R sin3 xcos4 xdx: 2 ................
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