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# C4 integrating parametric equations question help please! watch

1. The diagram shows (sorry cant actually get the diagram, youll have to use an internet plotter or something :P) a curve with parametric equations x = t - sin(t), y = 1-cos(t)

Find the area bounded by the x axis and one loop of the curve.

At x axis, y = 0

0 = 1- cos(t)
cos(t) = 1
t = 0

When t = 0, x = 0 - sin 0 = 0 =/

I know Ive got to sort out the limits of x and y (0.0 is on there but its not a loop obviously)

Thanks
2. Subscribing. I need help with integrating parametric equations too.
3. Think ive done it can someone please check my working?

Limits for area:

(from t = 2pi-t)

Limits are now t = 0 and t = 2\pi (dont know how to put limits on integration
from t = 0 to 2\pi

Thanks (sorry about the dodgy latex near the bottom)
4. (Original post by Chemhistorian)
...
I'll assume everything else in error is a typo.

See attached.
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