Question

calculus help.....find the area that the curve encloses: r=2 cos 3theta

Answer 1

S=pi*r^2

you need to simplfy it

Answer 2

it's not A = indefinite integral of the bounds by the theta angles (1/2)r^2?

Answer 3

*definite

Answer 4

integrate :
\[A=2\int\limits_{0}^{\pi}2 \cos 3 \theta d \theta \]

Answer 5

no that still doesn't give me the correct answer but thank you for yoru sugestions! the correct answer is pi

Answer 6

but i just want to know how to get it

Answer 7

It's integral half r^2 dtheta but i am not too sure about the bounds, sorry.

Answer 8

http://www.wolframalpha.com/input/?i=r%3D2+cos%283theta%29

Answer 9

2 int cos^2(3theta) dtheta between 0 and pi seems right.....