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Question
Integrate the following with respect to x.
`(cos 2x + 2sin^2x)/(cos^2x)`
Solution
`int (cos 2x + 2sin^2x)/(cos^2x) "d"x = int (cos^2x - sin^2x + 2sin^2x)/(cos^2x) "d"x`
= `int (cos^2x + sin^2x)/(cos^2x) "d"x = int 1/(cos^2x) "d"x`
= `int sec^2 x "d"x`
= tan x + c
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