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

- stapel_eliz
**Posts:**1687**Joined:**Mon Dec 08, 2008 4:22 pm-
**Contact:**

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:

. . . . .

By symmetry, this can be simplified a bit to:

. . . . .

. . . . .

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

. . . . .

Then apply the standard trig-integral identity:

. . . . .

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!