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7 Practice Problems Concerning Integration by Parts
1. 2.
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sin−1 (x) dx tan−1 (x) dx
3.
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x ln(x) dx
4.
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ln(x) dx x
5. 6. 7.
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x2 sin(x) dx ex sin(x) dx ex cos(x) dx
5 Challenge Problems Concerning Integration by Parts
1. 2. 3. 4. 5.
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cos(x) ln(cos(x)) dx xex ln(x − 1) dx sin(x) cos(x)ecos(x) dx x4 tan−1 (x) dx x5 sin(x) dx