Integration help
 
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Integration help


Arjen
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(@arjen)
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How would you integrate (x^2)(e^x^3) by parts?

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Further_Maths_Student
(@further_maths_student)
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@arjen

I don't think thats particularly an integration by parts question

If you had integration of (3x^2)(e^x^3), you could probably straight away tell that that came from e^x^3 as when you differentiate e^x^3 you get (3x^2)(e^x^3).

The only difference with what you asked is that instead of (3x^2)(e^x^3) you want integration of (x^2)(e^x^3) so to get rid of the extra 3, just write a 1/3 in front of e^x^3 so that when it differentiates, it cancels out the 3.

I hope that made sense!

 (if you really really want to do integration by parts however, make u = x^2 and v' =e^x^3, then you will have to do integration by parts two more times within that integration by parts - but after that third time it should work out.

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Arjen
Posts: 4
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(@arjen)
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Joined: 3 years ago
  • Thanks, that made a lot of sense
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