integrals

The integral test determines whether an infinite series converges or diverges by comparing it to an improper integral. It applies to positive, decreasing terms.

Partial fraction decomposition is a practical and widely used method for rewriting a rational function (a quotient of two polynomials) as a sum of simpler elementary fractions.

Let’s see how we can proceed to calculate the integral of rational functions of the form:

\[\int \frac{N(x)}{D(x)} \, dx \]