[Video Solution] If the value of the integral ∫\limits_0^5 x + [x] \over e^x - [x]dx = α e^ -... | ASPIRE STUDY

Name: [Video Solution] If the value of the integral ∫\limits_0^5 x + [x] \over e^x - [x]dx = α e^ -... | ASPIRE STUDY
Uploaded: 2026-02-16T13:26:59+00:00
Description: If the value of the integral ∫\limits_0^5 x + [x] \over e^x - [x]dx = α e^ - 1 + β , where α, β \in R, 5α + 6β = 0, and [x] denotes the greatest integer less than or equal to x; then the value of (α + β)2 is equal to : | Watch the step-by-step video solution for this NIMCET PYQ.

If the value of the integral ∫\limits_0^5 x + [x] \over e^x - [x]dx = α e^ - 1 + β , where α, β \in R, 5α + 6β = 0, and [x] denotes the greatest integer less than or equal to x; then the value of (α + β)2 is equal to : | Watch the step-by-step video solution for this NIMCET PYQ.

Published: 2026-02-16T13:26:59+00:00 Thumbnail: Open Page: https://www.aspirediary.com/library/video/12595/if-the-value-of-the-integral-limits-0-5-x-x-over-e-x-x-dx-e

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