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Question
Evaluate the following:
`int (sinx + cosx)/sqrt(1 + sin 2x) "d"x`
Solution
I = `int (sinx + cosx)/sqrt(1 + sin 2x) "d"x`
= `int (sinx + cosx)/sqrt(sin^2x + cos^2x + 2 sin x cosx) "d"x`
= `int (sin x + cosx)/sqrt((sinx + cosx)^2) "d"x`
= `int 1"d"x`
= x + C
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