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Question

Integrate with respect to x:
2x2ex2

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Solution

Consider the given integral.

I=2x2ex3dx

I=2x2ex3dx

Let t=x3

dtdx=3x2

dt3=x2dx

Therefore,

I=23etdt

I=23(et)+C

Thus,

I=23(ex3)+C

Hence, this is the answer.


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