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Jee Main 2025 — Medium JEE math MCQ

If \(I(m, n) = \int_0^1 x^{m-1}(1-x)^{n-1} \, dx, m, n > 0\), then \(I(9, 14) + I(10, 13)\) is
  1. A. \(I(19, 27)\)
  2. B. \(I(9, 1)\)
  3. C. \(I(1, 13)\)
  4. D. \(I(9, 13)\)

Solution

The correct option is **D**. (D. \(I(9, 13)\))

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
If I(m,n)=∫01xm−1(1−x)n−1 dx,m,n>0I(m, n) = \int_0^1 x^{m-1}(1-x)^{n-1} \, dx, m, n > 0, then I(9,14)+I(10,13)I(9, 14) + I(10, 13) is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep