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Math Help - Find area of region

  1. #1
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    Find area of region

    Between -pi/3 and pi/3

    Between
    y = 1/2 (sect)^2
    and
    y = 4 (sint)^2

    I got 2 root 3

    This is one of my first times doing these problems. Can someone tell me if I am right?
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  2. #2
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    Quote Originally Posted by Morgan82 View Post
    Between -pi/3 and pi/3

    Between
    y = 1/2 (sect)^2
    and
    y = 4 (sint)^2

    I got 2 root 3

    This is one of my first times doing these problems. Can someone tell me if I am right?
    This is what I got

     <br />
\int_{-\pi/3}^{\pi/3} \frac{1}{2} \sec^2 t - 4 \sin^2 t\, dt = 2 \sqrt{3} - \frac{4 \pi}{3}.<br />
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