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in proving a beta gamma relation.

swaha
in Analysis and Calculus

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B(m,n)=gamma(m).gamma(n)/gamma(m+n)

while changing the variables x to rcosz, y=rsinz and taking their differentials we tactly assume the terms containing (dz)^2 & (dr)^2 terms vanish. we only consider terms containing dzdr in the double integral in place of dxdy can somebody please explain why (dz)^2 & (dr)^2 terms vanish or not considered for the double integral?

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