JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

[t]

denote the greatest integer less than or equal to t. Then the value of the integral

\int_{-3}^{101}\left([\sin (\pi x)]+e^{[\cos (2 \pi x)]}\right) d x

is equal to

View answer and explanation

Correct option: B

\frac{52}{e}

Option B is correct. The integral is evaluated by using the periodicity of the functions and simplifying the integral.

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