Integrals in Engineering

sbfisher60

New member
Joined
Jul 29, 2015
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1
Hello all,

I am in need of some serious help in solving this particular integral problem. I'm not asking it to be done for me, just looking for guidance.

The profile of a gear tooth is approximated by the trigonometric equation y(x)= k/2 (1-cos(2pix/L)).

a) Estimate the area A using eight triangles of equal width deltaX = L/8
b) Calculate the exact area by integration.

Attached is a picture of my problem and the graph.

So far I have n=8... I think. Would L=2pi?

Thank you in advance.
 

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