Line Integrals: How to Integrate Functions Over Paths


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question 1 of 3

A set of functions that map an interval onto an arbitrary curve through space is called:

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1. Which of the following is a parametrization of the line y=x from P(-1,-1) to Q(1,1)?

2. Evaluate the following line integral if C is the curve y = x from P(-1,-1) to Q(1,1).

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About This Quiz & Worksheet

Use this quiz and worksheet to review what you know about integrating functions over paths with line integrals. You'll revisit related terms with definitions and identify the correct values in examples.

Quiz & Worksheet Goals

The purpose of this quiz and worksheet is to provide a quick assessment and review of:

  • Common terms related to integrating functions over paths with line integrals and their definitions
  • Identifying the correct parametrization of a line
  • Problem solving with integrating functions

Skills Practiced

  • Define key concepts - ensure you understand and can apply key concepts like integral lines, parametrization and path integrals
  • Information recall - check that you know the common functions integrated over paths
  • Problem solving - use what you know about integrated functions to solve for the answer in word problems

Additional Learning

Perhaps you'd like a more in-depth review. If this is the case, check out the provided lesson, Line Integrals: How to Integrate Functions Over Paths. The lesson highlights:

  • Common terms like line integral, parametrization
  • How a coil is related to a line integral
  • Evaluating a line integral
  • Common equations related to line integrals and integrating functions over paths
  • Examples and solutions of these functions