Calculus: Understanding Integration

Math    |    Expert
  • 9 Videos | 1h 4m 12s
  • Includes Assessment
  • Earns a Badge
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

  • Playable
    1. 
    Course Overview
    1m 57s
    UP NEXT
  • Playable
    2. 
    Getting Familiar with Integration
    6m 47s
  • Locked
    3. 
    Differentiating Between Definite and Indefinite Integrals
    5m 52s
  • Locked
    4. 
    Comparing Derivatives and Integrals
    4m 59s
  • Locked
    5. 
    Computing Integrals
    8m 47s
  • Locked
    6. 
    Integrating Constant and Linear Functions
    10m 19s
  • Locked
    7. 
    Integrating Sine and Cosine Functions
    11m 18s
  • Locked
    8. 
    Integrating Quadratic and Polynomial Functions
    9m 3s
  • Locked
    9. 
    Course Summary
    1m 40s

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