find the antiderivative of x^2e^(3x)  TOPIC_SOLVED

Limits, differentiation, related rates, integration, trig integrals, etc.

Re: find the antiderivative of x^2e^(3x)

Postby Martingale on Thu May 07, 2009 11:38 pm

yabo2k wrote:for the antiderivative of the second part then I would get

(2x/3)(e^3x/3)-(e^3x/3)((2/3)dx)


you really need to put an integral sign in there

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Re: find the antiderivative of x^2e^(3x)

Postby yabo2k on Thu May 07, 2009 11:51 pm

I have them on my paper but I don't know how to put it into the computer. But I guess this is where I get stuck. I don't see how it can go any further than my first answer
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Re: find the antiderivative of x^2e^(3x)

Postby Martingale on Thu May 07, 2009 11:55 pm

yabo2k wrote:I have them on my paper but I don't know how to put it into the computer. But I guess this is where I get stuck. I don't see how it can go any further than my first answer


Martingale wrote:
yabo2k wrote:for the antiderivative of the second part then I would get

(2x/3)(e^3x/3)-(e^3x/3)((2/3)dx)


you really need to put an integral sign in there



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Re: find the antiderivative of x^2e^(3x)

Postby yabo2k on Thu May 07, 2009 11:58 pm

so did you find u, du, dv, and v again to get (2e^3x)/27
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Re: find the antiderivative of x^2e^(3x)

Postby Martingale on Fri May 08, 2009 12:04 am

yabo2k wrote:so did you find u, du, dv, and v again to get (2e^3x)/27


no...not for the last part. just used the fact that one last time
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Re: find the antiderivative of x^2e^(3x)

Postby yabo2k on Fri May 08, 2009 12:10 am

so my final answer would be

((x^2e^3x)/3)-((2xe^3x)/9)-((2e^3x)/27)+C
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Re: find the antiderivative of x^2e^(3x)

Postby Martingale on Fri May 08, 2009 12:20 am

yabo2k wrote:so my final answer would be

((x^2e^3x)/3)-((2xe^3x)/9)-((2e^3x)/27)+C


almost..check the sign on the (2e^3x)/27 term
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Re: find the antiderivative of x^2e^(3x)

Postby yabo2k on Fri May 08, 2009 12:33 am

[/quote]

You have it as a subtraction. So where did i go wrong?
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Re: find the antiderivative of x^2e^(3x)

Postby Martingale on Fri May 08, 2009 1:04 am

yabo2k wrote:


You have it as a subtraction. So where did i go wrong?[/quote]

I have a subtraction for this small part of the problem. Combine this with the full problem.
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Re: find the antiderivative of x^2e^(3x)

Postby Martingale on Fri May 08, 2009 1:05 am

did you see this post of mine?
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