+0  
 
0
348
3
avatar

[-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+26965 
+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
 #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+26965 
+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+93289 
0

That is really neat Alan :))

Melody  Dec 7, 2014

11 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.