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Special Integrals - 1

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Question

Find : $\int e^{x} sec x (1 + tan x) d x$

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Solution

$I = \int e^{x} s e c x (1 + t a n x) d x$

$= \int (e^{x} s e c x + e^{x} s e c x . t a n x) d x$

$= \int (e^{x} s e c x) d x$

$= e^{x} s e c x$

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