# Calculus: Understanding Integration

Math    |    Expert
• 9 videos | 1h 42s
• Includes Assessment
Rating 4.4 of 5 users (5)
Integral calculus is a major branch of calculus that deals with integrating - i.e., aggregating - an infinite number of infinitesimal increments to a function. Integration is the inverse operation of differentiation and has wide-ranging applications across science, engineering, and social sciences. Begin this course by understanding how integration can be used to compute the area under a curve. You'll then explore the relationship between derivatives and integrals and discover how differentiation and integration are inverse operations. You'll wrap up the course by investigating the steps involved in computing the integral of several different types of functions and visualize these integrals using a combination of SymPy, Seaborn, and Matplotlib. By the time you finish this course, you'll be able to solve definite as well as indefinite integrals and visualize such integrals as the area under a curve in Python.

## WHAT YOU WILL LEARN

• Discover the key concepts covered in this course
Define the integral as the limit of a sum and as the area under a curve
Differentiate between definite and indefinite integrals
Frame differentiation and integration as inverse operations
Compute integrals from first principles
• Compute integrals of linear and constant functions
Compute integrals of cubic, sine, and cosine functions
Compute integrals of quadratic and polynomial functions
Summarize the key concepts covered in this course

## IN THIS COURSE

• 3.  Differentiating Between Definite and Indefinite Integrals
• 4.  Comparing Derivatives and Integrals
• 5.  Computing Integrals
• 6.  Integrating Constant and Linear Functions
• 7.  Integrating Sine and Cosine Functions
• 8.  Integrating Quadratic and Polynomial Functions
• 9.  Course Summary

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