The video to the right shows some examples of integration by parts. In particular,
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∫xln(x)dx, where we take u=ln(x) and dv=xdx;
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∫xsin(x)dx, where we take u=x and dv=sin(x)dx; and
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∫x2exdx, where we take u=x2 and dv=exdx the first time, and u=2x and dv=exdx teh second time.
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