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

Question

anonymous · Answer

can you show me the work by integral plz

anonymous · Answer

its not a line lol its circles

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

AREA ?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

since it says inside both

anonymous · Answer

dont you get negative answer ???

anonymous · Answer

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

anonymous · Answer

Area always is positive