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

[Victor2167]

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.

 

[amiras]

What about -2δ/∏ cos(∏y/2δ) from 0<y<δ ?

Which evaluates to: -2δ/∏( cos(∏/2) - 1) = 2δ/∏

 

[Victor2167]

what method of integration is used to obtain that answer?

 

[Office_Shredder]

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