Integration Problem

  • Thread starter flash
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  • #1
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Hi
I'm trying to integrate
[tex]
\int (-40x^3 + 38.4x^2 - 13.288x + 1.98072)\sqrt{14400x^4 - 18432x^3 + 9087.36x^2 - 2041.0368x+ 177.570944}dx
[/tex]
The way I thought I could do it was express the first part (the cubic) in terms of the derivative of the second and do it by substitution. Unfortunately it doesn't work. :frown:
Not totally sure that it can be done at all.

Thanks for any help!
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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No, I don't think you are going to be able to integrate that in closed form. But there are simple numerical methods to consider like Simpson's rule.
 
  • #3
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You can painfully do it by elliptic intehrals. But how did you arrive at this problem?
 
  • #4
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I put it into maple, and the answer cannot be expressed with elementary functions (and the answer is about 19 lines!)
 
  • #5
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Ok thanks people. I found the answer numerically. I arrived at the problem when trying to evaluate the surface of revolution of the cubic function.
 
  • #6
Gib Z
Homework Helper
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How did you evaluate an indefinite integral numerically :(
 
  • #7
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Haha it was a definite integral, just didn't bother with the notation :-)
 

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