JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

f(x)=x-[x]

: for every real number of

x

, when

[x]

is the integral point of

x

. Then

\int\limits_{{-1}}^1 f(x) d x

is equal to

View answer and explanation

Correct option: A

Option A (1) is correct because the integral of x-[x] from -1 to 1 simplifies to 1 after evaluating the integral part by part.

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