Integration using Partial Fractions (Edexcel A-Level Mathematics): Flashcards

To simplify a rational function for easier integration.

Factor the denominator into linear or quadratic terms.

As a sum of simpler fractions based on the factors.

Solve for the constants in the partial fractions.

Decompose into simpler fractions, then integrate each.

Use $(Ax + B) / (x^2 + a)$ for quadratic factors.

Result is $\frac{1}{8}\ln|x-4| - \frac{1}{8}\ln|x+4| + C$.

Set up an equation and solve for unknown constants.

To simplify integration of rational functions.

They are simplified to make integration manageable.