(adsbygoogle = window.adsbygoogle || []).push({}); The problem statement, all variables and given/known data

Find

[tex]\int\frac{\cos y}{\sqrt(a-y)}\,dy[/tex]

The attempt at a solution

Let U = cos y and dV = [tex]\frac{1}{\sqrt(a-y)}[/tex]

I get: cosy.-2√(a-y) - 2∫√(a-y).siny.dy

So, again, i use partial integration:

Let U = siny and let dV = [-2(a-y)^(3/2)]/3

I get: siny.[-2(a-y)^(3/2)]/3 + (2/3)∫[(a-y)^(3/2)].cosy.dy

But the cycle is endless. I need to get the answer 2siny.

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# Integrate cosy/sqrt(a-y).dy

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