(a) Prove that $B(m,n) = B(m, n+1) + B(m+1, n)$. (b) Evaluate the fol…

Question

(a) Prove that $B(m,n) = B(m, n+1) + B(m+1, n)$.

(b) Evaluate the following integral by changing order of integration:

$$\int\limits_{3}^{5} \int\limits_{0}^{4/x} xy \, dxdy$$

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