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Question
Find the following integrals:
`int (2 - 3 sinx)/(cos^2 x) dx.`
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Solution
Let `I = int (2 - 3 sin x)/(cos^2 x)` dx
`I = int (2/(cos^2 x) - (3 sin x)/(cos^2 x))` dx
`I = int (2 sec^2 x - 3 tan x sec x)` dx
`I = 2 int sec^2 x dx - 3 int tan x sec x` dx
I = 2 tan x - 3 sec x + C
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