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Example 12

∫ sin (ln x) dx.

Let u = sin (ln x), dv = dx. Then

08_exp-log_functions-594.gif

Integrating by parts,

08_exp-log_functions-595.gif

Integrating by parts again,

08_exp-log_functions-596.gif

Then

08_exp-log_functions-597.gif


Last Update: 2006-11-15