∫ xe^(2x)/ (2x+1)^2
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This is a simple question if you remember that
whenever you get an integral with e^x
Try this
Try proving it its fun
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Here let 2x =t
2dx =dt
dx =dt/2
(2x+1) = t+ 1
All you need to do now is See the form , try it before looking down
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Here
Can you see something
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So ultimately
integration has become
Answer will be
Put the value of t = 2x