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Question
Integrate the functions:
`cos x /(sqrt(1+sinx))`
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Solution
Let `I = int (cos x)/sqrt(1 + sin x)` dx
Put 1 + sin x = t
cos x dx = dt
∴ `I = int dt/sqrt(1 + t) = (1 + t)^(1/2 +1)/(1/2 + 1) + C`
`= 2 (1 + t)^(1/2) + C`
`= 2 sqrt(1 + sin x + C)`
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