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[-3.7,3.7]∫t/(t^6+5)=?

Please show me the solution by adding some explanations?

Thanks.

Guest Dec 6, 2014

Best Answer 

 #2
avatar+26642 
+5

The integrand, f(t) = t/(t6 + 5), is an odd function.  That is f(-t) = -f(t), so the integral between -3.7 and 0 exactly cancels the integral between 0 and +3.7, with the overall result of the integration being zero.

You can see this in the following image:

 odd function

.

Alan  Dec 7, 2014
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3+0 Answers

 #1
avatar
+5

You do appreciate that it is rather fearsome? http://m.wolframalpha.com/input/?i=integral+t%2F%28t%5E6%2B5%29&x=0&y=0

 

Good luck. 

Guest Dec 6, 2014
 #2
avatar+26642 
+5
Best Answer

The integrand, f(t) = t/(t6 + 5), is an odd function.  That is f(-t) = -f(t), so the integral between -3.7 and 0 exactly cancels the integral between 0 and +3.7, with the overall result of the integration being zero.

You can see this in the following image:

 odd function

.

Alan  Dec 7, 2014
 #3
avatar+92256 
0

That is really neat Alan :))

Melody  Dec 7, 2014

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