Is the Given Function an Even Function?

[zorro]

Homework Statement

The given function is an even function. I tried using properties but did not get any satisfying result.

 

[LeonhardEuler]

Have you tried a substitution?

 

[Mark44]

The fact that the function is even is relevant only when the limits of integration are symmetric, with a = -b.

 

[zorro]

Have you tried a substitution?

I tried many things
But did not get any solution.

The fact that the function is even is relevant only when the limits of integration are symmetric, with a = -b.

Yes I forgot about that. Which property shall I use then?

 

[LeonhardEuler]

What substitutions did you try? If you look carefully at what you get from the substitution, the answer might pop out even though it looks like you've reached a dead end.

 

[zorro]

What substitutions did you try? If you look carefully at what you get from the substitution, the answer might pop out even though it looks like you've reached a dead end.

I looked carefully. Nothing popped out.
Now can you tell me what is that substitution?

 

[LeonhardEuler]

Try u=1/x

 

[zorro]

heck that is easy!
Thanks! I got it as 0.