jee-main 2022 Q75

jee-main · India · session2_25jul_shift2 Indefinite & Definite Integrals Piecewise/Periodic Function Integration

Let $[t]$ denote the greatest integer less than or equal to $t$. Then the value of the integral $\int_{-3}^{101} \left([\sin(\pi x)] + e^{[\cos(2\pi x)]}\right) dx$ is equal to
(1) $\frac{52(1-e)}{e}$
(2) $\frac{52}{e}$
(3) $\frac{52(2+e)}{e}$
(4) $\frac{104}{e}$

Let $[t]$ denote the greatest integer less than or equal to $t$. Then the value of the integral $\int_{-3}^{101} \left([\sin(\pi x)] + e^{[\cos(2\pi x)]}\right) dx$ is equal to\\
(1) $\frac{52(1-e)}{e}$\\
(2) $\frac{52}{e}$\\
(3) $\frac{52(2+e)}{e}$\\
(4) $\frac{104}{e}$

Paper Questions

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