Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Solve a, b, c?

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  • david
    Lv 7
    1 month ago

    a.  find intersection

         x^2 = 6 - x

         x^2 + x - 6 = 0  ...  (x + 3)(x - 2) = 0   ...  x = 2 ... x = -3

      those are the limits of integration

       integrate [-3,2] ((6 - x)-x^2) dx

        =  integrate [-3,2] (-x^2 - x + 6) dx

        =  -(1/3)x^3 - (1/2)x^2 + 6x  <<  eval [2, - 3]

        =  17/6  <<<  answer

    now you try the others

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