Definite IntegrationHard

Question

is equal to :

Options

A.
B.2 e2 eπ/2
C. eπ/2
D.none of these

Solution

S =
ln S =
=
⇒  ln S = ln[2.eπ/2-2]
⇒ S = 2eπ/2-2 = 2eπ/2 . e-2 = eπ/2

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