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Course: Staging content lifeboat > Unit 4

Lesson 1: Hidden Tutorial for Skill Checks (all Math: Calculus)

Test Yourself: Riemann sums

You might need: Calculator

Problem

Approximate the area between the x-axis and h(x)=17x from x=2 to x=5 using a left Riemann sum with 3 equal subdivisions.
The approximate area is
  • Your answer should be
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
units2.
Here's a sketch to help you visualize the area:
A shaded region bounded by the graph of the function h of x equals 1 divided by the quantity 7 minus x, the x-axis, the equation x equals 2, and the equation x equals 5.