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Question
Integrate the following with respect to x:
`"e"^x sec x(1 + tan x)`
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Solution
Let I = I
= `int "e"^x (sec x + sec x tan x) "d"x`
Take f(x) = sec x
f‘(x) = sec x tan x
This is of the form of `int "e"^x ["f"(x) + "f'"(x)] "d"x = "e"^x "f"(x) + "c"`
= ex sec x + c
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