Calculating Integrals of Simple Shapes


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question 1 of 3

Use the integral to find z, the shaded area, in the graph below.

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1. Find z, the shaded area in the graph below.

2. Graph the following to find z.

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About This Quiz & Worksheet

Along with the use of graphs and equations, you can calculate integrals of simple shapes. The problems found in this quiz will challenge you to demonstrate your proficiency with this skill.

Quiz & Worksheet Goals

Practice problems in this quiz test your ability to:

  • Solve for certain portions of a graph
  • Graph equations
  • Determine simple shapes from integrals

Skills Practiced

You will work on:

  • Problem solving - use acquired knowledge to solve practice problems involving calculating integrals of simple shapes
  • Information recall - access the knowledge you've gained regarding graphing
  • Knowledge application - use your knowledge to answer questions that include equations

Additional Learning

Further information and practice related to calculating integrals of simple shapes can be found in the lesson accompanying this quiz, entitled Calculating Integrals of Simple Shapes. This lesson will help you understand:

  • The definition of a definite integral
  • Trapezoid and rectangle shapes
  • Equations used for finding the area of these shapes