Integral, an algebra problem actually

  • Thread starter mattmns
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  • #1
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This one has me baffled.

[tex]\frac{4}{3}\int_{0}^{1} x^8 \sqrt{1 + 4x^2 + 4x^4}dx[/tex]

Any ideas would be great, I am thinking maybe a trig substitution, but I have yet to figure out how to simplify this thing first. Thanks.
 

Answers and Replies

  • #2
George Jones
Staff Emeritus
Science Advisor
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The stuff under the square root forms a perfect square.

Regards,
George
 
  • #3
1,090
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Pff, duhhh! [tex] (x^2 + \frac{1}{2})^2 [/tex]

Thanks!
 
  • #4
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i did this type of problem before but a multiple choice questions, and there is no matched answer.

later i discovered they used the negative solution, since square root gives positive and negative. so be careful.
 

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