This section is accompanied by three videos to complete these notes. The first video covers the first two pages of the notes; using substitution to solve a Definite and an Indefinite Integral. The second and third videos complete the notes by showing various Algebraic techniques to integrating trigonometric functions.
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Antidifferentiation by Substitution, more affectionately referred to as U-Sub, is an integration technique where the Chain Rule has to be applied in an integral. The first video develops the concept using Indefinite Integrals, and then how to treat the limits in a Definite Integral.
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The second U-Sub video demonstrates various algebraic techniques to apply before U-Sub can be used.
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The third video how to find the integral of various trigonometric functions, including squared trigonometric functions, and inverse trigonometric functions.
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