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Math Help - Teacher cant even do this.......

  1. #1
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    Exclamation Teacher cant even do this.......

    Find the area enclosed by the x-axis and the curve y=2(x squared-1).

    would be grateful if u could do it all as i have no idea.
    Thank u
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  2. #2
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    Title: Teacher cant even do this.......
    Quote Originally Posted by eftheking View Post
    Find the area enclosed by the x-axis and the curve y=2(x squared-1).

    would be grateful if u could do it all as i have no idea.
    Thank u
    Personally, I dislike melodramatic titles for a question. Especially when it stretches ones credulity. I'd be absolutely astonished if your teacher can't do this. So please, do not insult your teacher in this manner.

    The answer is \left| \int_{-1}^{1} 2(x^2 - 1) \, dx \right| = 2 \left| \int_{-1}^{1} x^2 - 1 \, dx \right|.

    I assume you know how to integrate (otherwise this question is pointless).
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  3. #3
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    Quote Originally Posted by eftheking View Post
    Find the area enclosed by the x-axis and the curve y=2(x squared-1).

    would be grateful if u could do it all as i have no idea.
    Thank u
    1. Calculate the zeros of the function. There are 2 zeros. (a, b)

    2. The enclosed area is

    a = \left|\int_a^b(2x^2-2)dx\right|

    I've got a = \frac83
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