Example 5 2 Evaluate sin x xdx 0 Solution Using integration by parts 2 2 cos  xdx 2 0 0 0 = (0 + 1) (0 + 0) – =1 Example 6 0 Evaluate 68 sin 8 sin 3 x xdx Solution 2 sin 8 sin 3 2 sin 8 sin 3  x xdx x xdx 1  2 0 11 0  2 2 5 0 2 0  0  0 1 0  2 1 =0
Example 5 Evaluate 2 x sin xdx 0 Solution Using integration by parts 0 2 2 0 2  cos xdx 0 = (0 + 1) – (0 + 0) =1 Example 6 Evaluate sin 8 x sin 3 xdx 0 68 Solution sin 8 x sin 3 xdx  2 2 sin 8 x sin 3 xdx  1 2 0  2 11 0 2 5 0  1 2 0 0  1 0 0  2 =0
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