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Definite Integration question

2025 · 24 Jan · Shift 1 · Q31
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  5. /2025 · 24 Jan · Shift 1 · Q31

Definite Integration question

2025 · 24 Jan · Shift 1 · Q31

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
If I(m,n)=∫01xm−1(1−x)n−1dx,m,n>0I(m, n)=\int_0^1 x^{m-1}(1-x)^{n-1} d x, m, n\gt 0I(m,n)=∫01​xm−1(1−x)n−1dx,m,n>0, then I(9,14)+I(10,13)I(9,14)+I(10,13)I(9,14)+I(10,13) is
  1. A
    I(9,1)I(9,1)I(9,1)
  2. B
    I(1,13)I(1,13)I(1,13)
  3. C
    I(19,27)\mathrm{I}(19,27)I(19,27)
  4. D
    I(9,13)\mathrm{I}(9,13)I(9,13)
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