## 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

## Volume of Revolution About the y-Axis with Examples

The volume of revolution formed when we rotate an area by 2π around the y-axis can be found by using … Read more

## Volume of Revolution About the x-Axis with Examples

The volume of revolution about the x-axis can be found by evaluating a definite integral with respect to the square … Read more

## Area Between Two Curves – Examples with Answers

We can find the area between two curves by finding the area under each curve separately. Then, we can subtract … Read more