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Mathematics 9 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

S=pi*r^2 you need to simplfy it

OpenStudy (anonymous):

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

OpenStudy (anonymous):

*definite

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

but i just want to know how to get it

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

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