Gamma and Beta Functions

JEE Main Mathematics · Definite Integration · 2 questions, latest first

• If I(m, n)=∫_0^1 x^m-1(1-x)^n-1 dx, m, n>0, then I(9,14)+I(10,13) is202524 January, Shift 1 · Q18
• Let β(m, n)=∫_0^1 x^m-1(1-x)^n-1 d x, m, n>0. If ∫_0^1(1-x^10)^20 d x=a × β(b, c), then 100(a+b+c) equals ____.20245 April, Shift 2 · Q11