JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value

\int\limits_{1}^a[x] f^{\prime}(x) d x, a > 1

, where

[x]

denotes the greatest integer not exceeding

x

, is

View answer and explanation

Correct option: B

[a] f(a)-\{f(1)+f(2)+\ldots+f([a])\}

The correct answer is B (

[a] f(a)-\{f(1)+f(2)+\ldots+f([a])\}

) because the integral is evaluated by splitting the range and using integration by parts.

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