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Question
`int(1 - 2sin x)/(cos^2x) dx` is equal ______.
Options
tan x – 2 sec x + C
− tan x + 2 sec x + C
− tan x − 2 sec x + C
tan x + 2 sec x + С
MCQ
Fill in the Blanks
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Solution
`int(1 - 2sin x)/(cos^2x) dx` is equal tan x – 2 sec x + C.
Explanation:
`int(1 - 2sin x)/(cos^2x) dx = int(1/(cos^2x) - (2sin x)/(cos^2x)dx)`
= `int(sec^2x - 2 tan x sec x)dx`
= tan x − 2sec x + c
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