My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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.
davedave is offline  
 
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?
HallsofIvy is offline  
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.
HallsofIvy is offline  
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.
the john is offline  
March 14th, 2014, 05:37 AM   #5
Math Team
 
Joined: Sep 2007

Posts: 2,409
Thanks: 6

Re:

Quote:
Originally Posted by the john
Well since it's symmetric it's obviously 2a.
That would be correct if it were "symmetric about the y-axis".

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.
HallsofIvy is offline  
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) = x, where your correct explanation gives f(x) = x as an example.
the john is offline  
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 y-axis" while is "symmetric about the origin".
HallsofIvy is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
question, solvable



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Solvable Quintics mathbalarka Algebra 101 September 6th, 2012 10:03 PM
Solvable Groups gaussrelatz Abstract Algebra 3 July 17th, 2012 01:35 AM
is it solvable ? versmart Algebra 8 September 15th, 2011 07:07 AM
Is this in anyway solvable? Writhen Calculus 7 May 28th, 2008 02:48 AM
is it solvable ? versmart Abstract Algebra 5 December 31st, 1969 04:00 PM





Copyright © 2018 My Math Forum. All rights reserved.