Integration by Partial Fractions: Example 7

In this video I go over another example on integrating rational functions by using partial fractions and this time solve the integral of the function (1-x+2x^2-x^3)/[x(x^2+1)^2]. The rational function in this example has a non-linear irreducible factor and thus I show how to break this down using partial fraction decomposition to simplify the integration process. This is a pretty tedious but useful video to fully understand the partial fractions process.

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I don't always integrate rational functions using partial fractions... oh wait yes yes I do ;)