Change of Variables (Substitution)
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Lesson Description:
Differentials. Using basic "u-substitutions" to find indefinite integrals and compute definite integrals.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Additional Resources:
- The u-Substitution; Change of Variables - Practice with The u-Substitution; Change of Variables.
Questions answered by this video:
- What is change of variables in Calculus?
- What is u-substitution in Calculus?
- What is a differential?
- What are formulas for differentials?
- What is the reverse chain rule?
- How do you do u-substitution?
- How do you find u and du to find an integral?
- How do you find the integral of x/(x - 1)^3?
- How do you find definite integrals using u-substitution?
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Staff Review
Differentials are at the forefront of this lesson. They are used to introduce changing variables in Calculus problems, also called u-substitution. This concept is vital to finding integrals in Calculus. Many example problems where you can see u-substitution in action are shown, so you can see several different scenarios. Both indefinite and definite integrals are shown. -
Vince_II
Definite integral part. The reason why we have U in this case is to find the differential and constant. Never do we replace the U substitution with the previous variable that was replaced.
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