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.
A Level Maths Notes: C1 – Integrating and Differentiating Algebraic Fractions
Integration of any algebraic fraction is quite simple if the
denominator is a power ofWe
can just simplify the numerator to express it as a sum of powers
ofdivide
each term by the denominator so the whole expression is a sum of
powers ofthen
integrate each term individually by adding one to the power and
dividing by the new power.
For example,
Find
and
Hence
and