Integrating and Differentiating Algebraic Fractions
Integration of any algebraic fraction is quite simple if the denominator is a power of
We can just simplify the numerator to express it as a sum of powers of
divide each term by the denominator so the whole expression is a sum of powers of
then integrate each term individually by adding one to the power and dividing by the new power.
For example,
Find
and
Hence
and
