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#1 2011-06-30 10:45:01

b31den
Guest

Polar Curves Area

Hi, Im trying to solve this problem and I think my problem is trying to set the upper and lower bounds of the integral?

Find the area of the region inside

but outside


so for outside r=4 then



if this is correct then shouldnt

and
?

#2 2011-06-30 15:59:15

soroban
Member
Registered: 2007-03-09
Posts: 452

Re: Polar Curves Area

               8|
             .*.*.*.
         .*:::::|:::::*.
        *:::::::|:::::::*
       *::::::::|::::::::*
      .:::::::::|:::::::::.
      *:::::::::|:::::::::*
      *:::::::* * *:::::::*
      *:::*    4|     *:::*
       :*       |       *:
       *        |        *
        *       |       *
      *   *     |     *   *
- - - * - - - * * * - - - * - - -
      *         |         *4
                |
       *        |        *
        *       |       *
          *     |     *
              * * *
                |

.

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#3 2011-07-02 11:22:53

b31den
Guest

Re: Polar Curves Area

Thanks!  I can't believe I didnt think of subtracting the area inside r=4

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