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

Create a free account to view solution

View Solution Free

Topic: Area under the curve·Practice all Area under the curve questions

More Area under the curve Questions

The area bounded by the curves y = sin x, y = cos x and x-axis from x = 0 to x = π/ 2 is-...The area bounded by y = tan x, y = cot x, x-axis in 0 ≤ x ≤ is -...Let z = x + iy, then area bounded by the curve |z| ≤ 2 and (1 - i) z + (1 + i) ≥ 4 :-...The area bounded by the curve y = x3, the x-axis and the ordinates x = − 2 and x = 1 is-...The area between the curve y = ex and x-axis which lies between x = − 1 and x = 1 is-...