Definite IntegrationHard

Question

is equal to :

Options

A.

B.2 e² e^π/2

C. e^π/2

D.none of these

Solution

S =

ln S =

=

⇒ ln S = ln[2.e^π/2-2]
⇒ S = 2e^π/2-2 = 2e^π/2 . e^-2 = e^π/2

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