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**Unformatted text preview: **Z 3 2 ln xdx . Example 0.3. Using integration by parts to evaluate integral of inverse trig functions: Evaluate Z tan-1 xdx . Example 0.4. Making a substitution ﬁrst: Evaluate Z π 2 / 16 sin √ xdx . Example 0.5. Integrating by parts more than once: Evaluate Z x 2 e 2 x dx . Example 0.6. What if neither u nor v disappear? Evaluate Z e x cos xdx . Practice in groups 1. Z 3 xe 2 x dx 2. Z e 1 x 2 ln xdx 3. Z e x ln( e x ) dx 4. Z sin-1 xdx 5. Z e 2 y cos(3 y ) dy...

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