983 Partial fraction

Partial fraction

Sometimes integral of a large franction can be done by separating it into some small fractions. It is called partial fractions. Numerator of partial fraction is often 1 in order to use natural logarithm function. We start by doing a backward operation of partial fraction. Change this expression into one term of large fraction.

The reverse operation, that is to write this fraction in plynomial form, in partial fractions. This is an operation of division to get the quotient and the rest.

Integral of a fraction. First, this one is the definition.

When the numerator is 1, integral of fraction can be done.
Change, first, this fraction into a polynomial expression. Partial fractions.

This fraction seems to be impossible to decompose. However, it can be decomposed into partial fractions.