Riemann Sums, Summation Notation, Definite Integral Notation

AP Calculus AB· difficulty 3/5

x +5 -3

The areas above and below the xx-axis are 5 and 3 respectively. Then f(x)dx\int f(x)\,dx over the full interval equals:

  • A

    1515

  • B

    88

  • C

    2-2

  • D

    22

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Explanation

Net signed area =53=2= 5 - 3 = 2.

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