Area under the curveMedium

Question

Let ′a′ be a positive constant number. Consider two curves C1 : y = ex, C2: y = ea-x. Let S be the area of the part surrounding by C1, C2 and the y-axis, then -

Options

A.S = 1
B.
C.Range of S is [0, ∞]
D.S(a) is neither odd nor even

Solution

      
S = (ea-x - ex)dx
= -[2ea /2 - (ea +1)]
Now

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