Change of Variables (Substitution)

Change of Variables (Substitution)
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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.
Differentials. Using basic "u-substitutions" to find indefinite integrals and compute definite integrals.
  • 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?
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.
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Reviewed by MathVids Staff on December 19, 2008.
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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Reviewed by Vince_II on April 29, 2010.
 
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