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This calculus video tutorial provides a basic introduction into integrating rational functions using the partial fraction decomposition method.  Partial fraction decomposition is the process of breaking a single complex fraction into multiple simpler fractions.  The integrals of many rational functions lead to a natural log function with absolute value expressions.  This video explains what to do when you have repeated linear factors and quadratic factors.  This tutorial contains many examples and practice problems on integration by partial fractions.

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Integration By Partial Fractions

This calculus video tutorial provides a basic introduction into integrating rational functions using the partial fraction decomposition method. Partial fraction decomposition is the process of breaking a single complex fraction into multiple simpler fractions. The integrals of many rational functions lead to a natural log function with absolute value expressions. This video explains what to do when you have repeated linear factors and quadratic factors. This tutorial contains many examples and practice problems on integration by partial fractions.

Comments

Noah D

I think it is more about practicing integration by partial fractions than it is using the different techniques, but yeah you could use usub I think

Ajay Singh

how do you know what numbers to plug in for A B C or any letters?

Alex Delgado

Great video! At 1:07:03, the integral of 256x/(x^2 + 16)^2. Why not do a u-sub? u = x^2 + 16, du=2xdx, cancels out the x in the numerator. End up with -128/x^+16