March 13th, 2014, 02:01 PM  #1 
Senior Member Joined: Apr 2008 Posts: 193 Thanks: 3  Is this question solvable?
If f(x) is symmetric about the origin and = a, find . my attempt = + = a + Can someone please explain whether it is possible to evaluate the last integral? Thanks. 
March 13th, 2014, 06:05 PM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Is this question solvable?
Seriously? That last integral is exactly the one you are told is equal to a! The first one is NOT equal to a because you are told the function is "symmetric about the origin". What does that mean?

March 13th, 2014, 06:06 PM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Is this question solvable?
Accidental double post.

March 13th, 2014, 10:10 PM  #4 
Senior Member Joined: Mar 2014 Posts: 112 Thanks: 8 
Well since it's symmetric it's obviously 2a.

March 14th, 2014, 05:37 AM  #5  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Quote:
But this problem says the function is "symmetric about the origin". That is, f(x)= f(x). The integral from 2 to 2 is 0.  
March 22nd, 2014, 10:04 PM  #6 
Senior Member Joined: Mar 2014 Posts: 112 Thanks: 8 
My above post gives an example of f(x) = x², where your correct explanation gives f(x) = x³ as an example.

March 23rd, 2014, 05:12 AM  #7 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Is this question solvable?
Yes, is "symmetric about the yaxis" while is "symmetric about the origin".


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