How to Do an Area Approximation Using Sigma Notation How to Use
Sigma Notation Integration by Parts with the DI-agonal Method
How to Integrate by Using Partial Fractions when the Denominator
Contains Only Linear Factors  You can use the partial fractions
method to integrate rational functions (Recall that a rational
function is one polynomial divided by another.) The basic idea
behind the partial fraction approach is “unadding” a fraction:
Before using the partial fractions technique, you have to check
that your integrand is a “proper” fraction — that’s one where
the degree of the numerator is less than the degree of the
denominator. If the integrand is “improper,” like   you have to
first do long polynomial division to transform the improper
fraction into a sum of a polynomial (which sometimes will just
be a number) and a proper fraction. Here’s the division for this
improper fraction (without explanation). Basically, it works
just like regular long division.   With regular division, if you
divide 4 into