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June 23rd, 2015, 06:50 AM   #1
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Indefinite Integral help

Hi everyone. I am stuck on this problem.

Evaluate the indefinite integral:
∫ (x^3+6+((5)/(x^2+1)) dx


I keep getting:
(1)/(4)x^(4)+6x+11arctan(x) which is wrong.

Can anyone enlighten me? Thank you!

Last edited by skipjack; June 23rd, 2015 at 07:16 AM.
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June 23rd, 2015, 07:15 AM   #2
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How did you get "11"?
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July 16th, 2015, 03:55 AM   #3
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It's simple: first integrate ∫5/(x^2+1)dx which is
5arctanx. thus ∫x^3+6+{5/(x^2+1)=
(x^4)/4+6x+5arctanx+k

Last edited by skipjack; July 16th, 2015 at 08:50 AM.
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July 16th, 2015, 08:52 AM   #4
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Quote:
Originally Posted by tippeffect5 View Post
Evaluate the indefinite integral:
∫ (x^3+6+((5)/(x^2+1)) dx
You can't do that, as the parentheses don't balance. What integral did you intend?
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