Question:medium

Let \([\,]\) denote the greatest integer function. Then the value of} \[ \int_{0}^{3}\left(\frac{e^x+e^{-x}}{[x]!}\right)dx \] is:

Updated On: Apr 10, 2026
  • \(e^2+e^3-\frac{1}{e^2}-\frac{1}{e^3}\)
  • \(\frac{1}{2}\left(e^2+e^3-\frac{1}{e^2}-\frac{1}{e^3}\right)\)
  • \(e^2+e^3-\frac{1}{2e^2}-\frac{1}{2e^3}\)
  • \(\frac{1}{2}(e^2+e^3)-\frac{1}{e^2}-\frac{1}{e^3}\)
Show Solution

The Correct Option is B

Solution and Explanation

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