Area under the curveHard

Question

The area bounded by the curves y = e^|x|, y = e^â€“|x| and |x| = 1, is-

Options

A.

$e + \frac{1}{e} - 2$

B.

$2 e + 1 + \frac{2}{e}$

C.

$2 (e + \frac{2}{e} - 1)$

D.

$2 e + \frac{2}{e} - 4$

Solution

Area = $2 {âˆ«}_{2}^{1} (e^{x} - e^{- x}) d x = 2 [e + \frac{1}{e} - 2]$

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