September 6th, 2018, 05:57 PM  #1 
Newbie Joined: Sep 2018 From: Probably my bedroom Posts: 4 Thanks: 0 Math Focus: E V E R Y T H I N G  How would you solve this integral?
Hey guys! I'd like to know how would you solve this integral. Please share your results! Thank you... 
September 6th, 2018, 06:24 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,974 Thanks: 1156 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: 1,847 Thanks: 661 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. 
September 6th, 2018, 07:01 PM  #4 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,340 Thanks: 983 Math Focus: Wibbly wobbly timeywimey 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 
Senior Member Joined: Sep 2016 From: USA Posts: 682 Thanks: 455 Math Focus: Dynamical systems, analytic function theory, numerics  You do exactly the same thing. Every cubic has at least one real linear factor.


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calculus, equation, formula, integral, solve 
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