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September 6th, 2018, 05:57 PM   #1
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Talking 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...
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September 6th, 2018, 06:24 PM   #2
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What integration techniques are you familiar with?
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September 6th, 2018, 06:26 PM   #3
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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.
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September 6th, 2018, 07:01 PM   #4
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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
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September 6th, 2018, 08:27 PM   #5
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Quote:
Originally Posted by topsquark View Post
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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