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Integral Calculus

Course: Integral Calculus > Unit 1

Lesson 2: Approximation with Riemann sums
Math
Integral Calculus
Integrals
Approximation with Riemann sums
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Left & right Riemann sums

AP.CALC: LIM‑5 (EU), LIM‑5.A (LO), LIM‑5.A.1 (EK), LIM‑5.A.2 (EK), LIM‑5.A.3 (EK), LIM‑5.A.4 (EK)
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Problem

Approximate the area between the x-axis and h, left parenthesis, x, right parenthesis from x, equals, 3 to x, equals, 13 using a right Riemann sum with 4 unequal subdivisions.
x3461013
h, left parenthesis, x, right parenthesis364812
The approximate area is
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
unitssquared.
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