7 Practice Problems Concerning Integration by Parts 1. ∫ sin −1(x

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