JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

I(m, n)=\int\limits_{0}^1 t^m(1-t)^n d t

, then the expression for

I(m, n)

in terms of

I(m+1, n-1)

, is

View answer and explanation

Correct option: B

\frac{n}{m+1} I(m+1, n-1)

The correct answer is B (

\frac{n}{m+1} I(m+1, n-1)

) because integration by parts allows expressing

I(m, n)

in terms of

I(m+1, n-1)

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