Integrate by Parts → Product Rule
It's the
Reverse Product Rule
. And here is the formula to solve the integration by parts:

Refer to Khan academy: Integration by parts intro
Trick & Strategy:
Recognize it's an integral with functions' product:
Carefully choose which function to be
f(x)
and the other to beg'(x)
.Better to choose the easier one as
f(x)
when taking derivative.
Example
Solve: [Refer to Symbolab](https://www.symbolab.com/solver/step-by-step/\int_{0}^{\pi} x\cdot sin\left(2x\right)dx)
Example
Solve:
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