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Question
`int e^x [(2 + sin 2x)/(1 + cos 2x)]dx` = ______.
Options
ex tan x + c
ex tan x – c
2ex tan x + c
ex tan 2x + c
MCQ
Fill in the Blanks
Solution
`int e^x [(2 + sin 2x)/(1 + cos 2x)]dx` = ex tan x + c.
Explanation:
`int e^x [(2 + sin 2x)/(1 + cos 2x)]dx = inte^x[(2(1 + sin x cos x))/(2cos^2x)]`
= `int e^x [sec^2x + tanx]dx`
= ex tan x + c
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