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Area Between Curves

AP Calculus AB· difficulty 3/5

x y=4-x²

The area enclosed between y=4−x2y = 4 - x^2 and the xx-axis is:

  • A

    323\tfrac{32}{3}

    check_circle
  • B

    88

  • C

    3232

  • D

    163\tfrac{16}{3}

Explanation

∫−22(4−x2) dx=[4x−x3/3]−22=16−16/3=32/3\int_{-2}^{2}(4-x^2)\,dx = [4x - x^3/3]_{-2}^{2} = 16 - 16/3 = 32/3.

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