JEE Math Practice Question
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
- A.$$\frac{52(1-e)}{e}$$
- B.$$\frac{52}{e}$$
- C.$$\frac{52(2+e)}{e}$$
- D.$$\frac{104}{e}$$
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