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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