Definite IntegrationHard
Question
The area bounded by the curves y = x ex, y = x e-x and the line x = 1
Options
A.2/e
B.1 - 2/e
C.1/e
D.1 - 1/e
Solution
y = xex, y = xe-x
xex = x-x x(ex - e-x) = 0
x = 0, Intersection point (0,0)
Area =
= x(ex + e-x)01 -
=
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