I'm supposed to find the area of one loop of a three leaved rose: r=10cos3ϴ. I know I'm supposed to integrate the formula (1/2)r^2ϴ, but what do I use as the upper and lower bounds?
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Originally Posted by My Little Pony I'm supposed to find the area of one loop of a three leaved rose: r=10cos3ϴ. I know I'm supposed to integrate the formula (1/2)r^2ϴ, but what do I use as the upper and lower bounds? what is the first angle, $\displaystyle \theta > 0$ where $\displaystyle \cos(3\theta) = 0$ ? ... what is the next angle after that one?
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