## 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,Findand

Hence

and