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Math Help - So Confused!

  1. #1
    Junior Member
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    So Confused!

    Confused! I hate finding the antiderivatives of cos/sec/sin, etc!!!!!


    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.



    Hint: If you've forgotten that you know an antiderivative for , consult the integral table on the back cover of your text.
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  2. #2
    MHF Contributor kalagota's Avatar
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    Taguig City, Philippines
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    Quote Originally Posted by MathNeedy18 View Post
    Confused! I hate finding the antiderivatives of cos/sec/sin, etc!!!!!


    Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.



    Hint: If you've forgotten that you know an antiderivative for , consult the integral table on the back cover of your text.
    it is better to integrate it with respect to x..

    thus, the equation is:

    \displaystyle\int_{\frac{-\pi}{4}}^{\frac{\pi}{4}} \left[ {(4\sec x)^2 - 7\cos x} \right] \, dx
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