## Second Order Partial Derivatives with Examples

Second-order partial derivatives describe the rate at which the partial derivative itself changes with respect to its variables. This information … Read more

## Applications of Integrals

Integrals are a powerful calculus tool that has many applications in different fields. They are used to calculate quantities such … Read more

## Applications of Derivatives

Derivatives are very useful mathematical tools, as they have a wide variety of applications in different fields. Derivatives are used … Read more

## Double Integrals – Examples with Answers

A double integral is a mathematical concept for finding the volume or area of a three-dimensional object or region in … Read more

## Partial Derivatives – Examples with Answers

Partial derivatives are a concept of multivariate calculus that allows us to measure how a function changes when one of … Read more

## Trapezoid Rule for Integrals – Examples with Answers

The trapezoid rule is a method of approximating the definite integral of a function. It is based on the idea … Read more

## Newton-Raphson Method – Examples with Answers

The Newton-Raphson method is an algorithm used to find the roots of a function. It is an iterative method that … Read more

## Integration by Parts – Examples with Answers

Integration by parts allows us to “reduce” an integral to a simpler form, expressing it as the difference between two … Read more

## Integration by Partial Fractions – Examples with Answers

Integration by partial fractions is an integration technique that consists of rewriting a rational function as the sum of simple … Read more

## Integration by Substitution – Examples with Answers

Integration by substitution consists of finding a substitution to simplify the integral. For example, we can look for a function … Read more