JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\int\limits_0^5 \cos \left(\pi\left(x-\left[\frac{x}{2}\right]\right)\right) d x

, where

[t]

denotes greatest integer less than or equal to

t

, is equal to

View answer and explanation

Correct option: D

The correct answer is D (0) because the integral evaluates to zero after splitting the interval and simplifying the cosine function.

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