Question

find the area of the region that lies inside both curves of r=1+cost & r=1-cost

Answer 1

can you show me the work by integral plz

Answer 2

its not a line lol its circles

Answer 3

and i found the limits for t from pi/2 to 3pi/2

Answer 4

equal both equation:
1+cost=1-cost
cost=0

Answer 5

AREA ?

Answer 6

I KNO THE T VALUES.. Pi/2 aand 3pi/2

Answer 7

lol i wasnt talking to you sory :)) and thanks for your help

Answer 8

for example:
\[\Pi/2 \to 3\pi/2\]
Then integra it
\[\int\limits_{\pi/2}^{3\Pi/2}1+cost -(1-cost)dt\]

Answer 9

Manuelg your work is not correct, please don't post wrong results delibaretely. That confuses people.

Answer 10

why is wrong? You are wrong . I'm a theoretical physicist.

Answer 11

thanks alott ( I wasnt just sure about subtraction or adding btw the areas

Answer 12

since it says inside both

Answer 13

dont you get negative answer ???

Answer 14

the boundary is wrong. You must use :
\[-\pi/2 \rightarrow \Pi/2\]

Answer 15

Area always is positive