area under part of a curve

iDoof

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Joined
Oct 17, 2005
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21
so i've got these parametric equations:

x = rt - dsin t, y = r - dsin t, d < r

they're equations that make a trochoid (its best if you already know what that is cause that probably means you could help me...if not i guess you could just graph it)...

anyway r is the radius of the "circle" and d is the distance from the center the tracing point is.

How do I find the area under one arch of the trochoid? I'm pretty sure how to set up the limits of the integration, but not what to integrate exactly...


hope that makes sense...thanks to everyone for your time!!
 
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