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    integration by substitution, partial fraction

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    Integration by Partial Fractions: This is a fascinating method! While there is no general format to follow here, the original integrand must be a rational fraction. Therefore, this is not a method to use in the case of roots in the integrand. The case that will jump out at you quickly is when the integrand has a quadratic in the denominator that can be factored, resulting in a breakup of the integral in a case such as: see attachment please.

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    The solution provides several examples how to integrate by substitution, partial fraction.