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Math Help - Integration, finding area between curves and lines, need help please

  1. #1
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    Integration, finding area between curves and lines, need help please

    need help with it so if anyone here knows, id be grateful for any. the question is: Find the area between the curve y=6+x-x^2 and the x axis.(no diagram by the way) i dont even know where to start
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  2. #2
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    The curve intersects the x axis in x=-2,\,x=3, hence, we integrate according to -2\le x\le3, besides, f>0 on [-2,3] and the integral \int_{-2}^3(6+x-x^2)\,dx yields the expected area.
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    thanks for the reply, where did you get the x values from though?
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  4. #4
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    Quote Originally Posted by jackass1 View Post
    thanks for the reply, where did you get the x values from though?
    Solve 0 = 6+x-x^2 to get x-intercepts I would have thought.
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