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Question
The value of `int (sinx + cosx)/sqrt(1 - sin2x) dx` is equal to ______.
Options
`sqrt(sin 2x) + c`
`sqrt(cos 2x) + c`
`±(sin x - cos x) + c`
`±log(sin x - cos x) + c`
MCQ
Fill in the Blanks
Solution
The value of `int (sinx + cosx)/sqrt(1 - sin2x) dx` is equal to ± log(sin x – cos x) + c.
Explanation:
`int (sinx + cosx)/sqrt(1 - sin2x) dx`
= `±int(sinx + cosx)/(sinx - cosx)dx`
= ± log(sin x – cos x) + c
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