How Do You Solve the Trigonometric Integral in Fluid Mechanics Research?

Victor2167
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Working on some fluid mechanics research for flat plate boundary layer, stuck on this integral:

∫sin(∏y/2δ)dy for 0<y<δ

Any help would be deeply appreciated.
 
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What about -2δ/∏ cos(∏y/2δ) from 0<y<δ ?

Which evaluates to: -2δ/∏( cos(∏/2) - 1) = 2δ/∏
 
what method of integration is used to obtain that answer?
 
Is the integral you are doing
\int_{0}^{\delta} \sin\left( \frac{\pi y}{2 \delta} \right) dy
?

There is an obvious choice of substitution to do
 

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