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September 6th, 2018, 05:57 PM   #1
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How would you solve this integral?

Hey guys!

I'd like to know how would you solve this integral.

Thank you...
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 September 6th, 2018, 06:24 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,881 Thanks: 1088 Math Focus: Elementary mathematics and beyond What integration techniques are you familiar with?
 September 6th, 2018, 06:26 PM #3 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,734 Thanks: 605 Math Focus: Yet to find out. Possibly factor the denominator and expand with partial fractions and then use the results you've obtained in a previous thread. Looks nasty overall though. Thanks from v8archie
 September 6th, 2018, 07:01 PM #4 Math Team     Joined: May 2013 From: The Astral plane Posts: 1,910 Thanks: 774 Math Focus: Wibbly wobbly timey-wimey stuff. The denominator does factor: it's $\displaystyle (x - 1)(3 x^2 + 9x -5)$ I'm not all that sure that it helps that much. You can do the partial fraction thing but I wouldn't know how to do the integral for a general cubic. -Dan
September 6th, 2018, 08:27 PM   #5
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Quote:
 Originally Posted by topsquark The denominator does factor: it's $\displaystyle (x - 1)(3 x^2 + 9x -5)$ I'm not all that sure that it helps that much. You can do the partial fraction thing but I wouldn't know how to do the integral for a general cubic. -Dan
You do exactly the same thing. Every cubic has at least one real linear factor.

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