Im confused by the subsitution, I would've assumed it would be
I can give more context if needed, its from the paper. On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation
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$\begingroup$ There must be a misprint, unless $P=0$, since the integral is $a$-independent. $\endgroup$ – J.G. Jan 17 at 13:58
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$\begingroup$ This looks like a mistake. Maybe contact the author if possible? $\endgroup$ – K.defaoite Jan 17 at 14:02
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