Line Integrals: How to Integrate Functions Over Paths Video

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

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

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

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).

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

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
Support