Mistake in provided solutions?

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Homework Statement



The problem is attached in the picture.


The Attempt at a Solution



If you refer to line 2 of the working, they substituted x with 'b' instead of y with 'b' since the first integral is with respect to y.

Is this a mistake or is there something more?
 

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Looks to me like they're substituting x=a and x=0 on line 2, just like you'd expect.
 
The first integral is NOT with respect to y, it is with respect to x.
 
I got a different answer when I integrated with respect to y first... I am missing the additional sqrt(b) term..
 
Then you made a mistake somewhere :-)
 
clamtrox said:
Then you made a mistake somewhere :-)

You are right, I saw my mistake.. Thanks btw!
 

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