If \( m, n \in N \), then the value of \( \int_{a}^{b}(x-a)^{m}(b-x...

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If \( m, n \in N \), then the value of \( \int_{a}^{b}(x-a)^{m}(b-x)^{n} d x \)
\( \mathrm{P}^{20.2} \) is equal to

W
(1) \( \frac{(b-a)^{m+n} \cdot m ! n !}{(m+n) !} \)
(2) \( \frac{(b-a)^{m+n+1} \cdot m ! n \text { ! }}{(m+n+1) !} \)
(3) \( \frac{(b-a)^{m} \cdot m \text { ! }}{m !} \)
(4) None of these
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