Calculus: Understanding Integration
Math
| Expert
- 9 videos | 1h 42s
- 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
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discover the key concepts covered in this coursedefine the integral as the limit of a sum and as the area under a curvedifferentiate between definite and indefinite integralsframe differentiation and integration as inverse operationscompute integrals from first principles
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compute integrals of linear and constant functionscompute integrals of cubic, sine, and cosine functionscompute integrals of quadratic and polynomial functionssummarize the key concepts covered in this course
IN THIS COURSE
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1.Course Overview1m 57sUP NEXT
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2.Getting Familiar with Integration6m 47s
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3.Differentiating Between Definite and Indefinite Integrals5m 52s
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4.Comparing Derivatives and Integrals4m 59s
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5.Computing Integrals8m 47s
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6.Integrating Constant and Linear Functions10m 19s
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7.Integrating Sine and Cosine Functions11m 18s
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8.Integrating Quadratic and Polynomial Functions9m 3s
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9.Course Summary1m 40s
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