JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The expression

\frac{\int\limits_{0}^n[x] d x}{\int\limits_{0}^n\{x\} d x}

, where

[x]

and

\{x\}

are integral and fractional parts of

x

and

n \in N

is equal to

View answer and explanation

Correct option: D

n-1

Option D (

n-1

) is correct because the integral of the integer part divided by the integral of the fractional part simplifies to

n-1

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