If $n \in N$, then $\int_\limits {-n}^n(-1)^{[x]} d x$ equals

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

n \in N

, then

\int\limits_{{-n}}^n(-1)^{[x]} d x

equals

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the integrand is an odd function, and the integral of an odd function over a symmetric interval is zero.

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