# Ch 10: Definite Integrals in Calculus

Adding all the values in a series, using Riemann sums, and understanding integral basics can be a breeze when you review the lessons in this chapter. Take the quizzes and chapter test to measure your understanding of the material.

## Definite Integrals in Calculus - Chapter Summary

The lessons in this chapter help you uncover the basics of definite integrals. You'll see real-world examples covering methods for calculating the area of a property situated on the banks of a curving river and using the Trapezoid Rule to determine the size of the shaded area under a curve in a graph.

The expert instructors in this chapter walk you through the process of using calculus to add up numbers in a series simply. You'll get a refresher in Riemann sums, working first with rectangles then with trapezoids for area estimations before integrals are introduced to find the exact area of various places. After completing these videos you will be able to:

• Use summation notation to calculate the sum of a series
• Calculate Riemann sums in functions and graphs
• Identify left, middle, and right Riemann sums
• Estimate area using the trapezoid rule
• Explore limits of Riemann sums for curved-area measurement precision
• Define integrals and relate them to Riemann sums
• Understand the linear properties of definite integrals

We bring this calculus topic to you through fun, but informative, videos designed by our professional instructors. Through real-life applications, these videos and their lesson transcripts help you get familiar with integral basics and summation notation. Use the self-assessments after each lesson and at the end of the chapter to see how well you are doing and figure out which lessons may need a second review.

8 Lessons in Chapter 10: Definite Integrals in Calculus
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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