find the area inside the cardiod r = 1 + cos(theta)

- stapel_eliz
**Posts:**1670**Joined:**Mon Dec 08, 2008 4:22 pm-
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For a lesson on how, in general, to find area with polar coordinates, try **here**.

From**the graph**, you know that the limits for this curve will be 0 and . The integral will then be:

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By symmetry, this can be simplified a bit to:

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By applying**some trig identities**, you should be able to get:

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Then apply the standard trig-integral identity:

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Integrate, evaluate, and you should be done!

From

. . . . .

By symmetry, this can be simplified a bit to:

. . . . .

. . . . .

By applying

. . . . .

Then apply the standard trig-integral identity:

. . . . .

Integrate, evaluate, and you should be done!

thanks i got it!