# Double Integral Calculator

## More Calculators ### Integral Calculator ### Double Integral Calculator ### Triple Integral Calculator ### Definite Integral Calculator ### Indefinite Integral Calculator ### Shell Method Calculator ### Washer Method Calculator ### Disc Method Calculator ### Laplace Transform Calculator ### Fourier Transform Calculator ### Improper Integral Calculator ### Integration by Partial Fractions Calculator ### U Substitution Calculator ### Trigonometric Substitution Calculator ### Integration by parts calculator ### Long Division Calculator ### Area Under the curve calculator ### Riemann Sum Calculator ### Trapezoidal Rule Calculator ### Area between Curves Calculator ### Simpson's Rule Calculator ### Arc Length Calculator ### Arc Length of Polar Curve Calculator ### Limit of Sum Calculator ##### by Alan Walker

Last Updated February 06, 2023

## Introduction to Double Integral Calculator

Double integral calculator is an online tool which helps you evaluate integrals online. Since it evaluates multiple integrals, it is also known as multiple integral calculator. Using online integration solvers can be very helpful as they provides instant results with steps and graphs etc.

The double integral calculator with steps calculates both multiple definite integrals and multiple indefinite integrals. A simple integration calculator with steps cannot evaluates multiple integarls so, this calculator becomes very useful.

Find more information on the topic definite and indefinite integrals from here.

Related: How to learn doing partial fraction within 5 minutes.

## Double Integration Symbol

The double integration symbol is represented as:

$$\int\int$$

## Formula used by Double Integration Calculator

Double integration calculator uses below formulas to calculate step by step results:

$$\int_{y_1}^{y_2} \left( \int_{x_1}^{x_2} f(x,y)dx \right) dy$$

Also find laplace calculator to calculate the transformation of derivative's given function and fourier series calculator to calculate the transformation of function of time to frequency.

## How double integral calculator works?

Double integral calculator with steps is an online which uses double integration formulas to calculate results. Since integration has different methods, user needs to select what calculation they wants to make i.e. indefinite or definite.

Once the user enters accurate values, the multiple integration calculator with steps calculates the results instantly. You can also find triple integartion calculator on this website for calculating triple definite integrals and triple indefinite integrals.

Related: Also find other useful calculators like disc integration calculator and volume of a solid of revolution calculator.

## How to find Double Integral Calculator?

There are 2 basic ways through which you can find iterated integral calculator. The first one includes the Google search option, as you need to search while typing the name of the polar integral calculator.

The other way includes the navigation system as you can find any or our double integration calculator with steps and navigate from there to the double integrals calculator. That way, you can also find the definite integrals calculator or indefinite integrals calculator within this website.

## How to use double Integration Calculator?

The multiple integral calculator or double integration calculator is very easy to operate. You just need to follow the steps to evaluate multiple integrals:

Step 1. Enter the function you want to integrate multiple times.

Step 2. Select the type either Definite or Indefinite.

Step 3. Select the variables in double integral solver.

Step 4. Provide upper limit and lower limit of x variable. If you have selected the definite option.

Step 5. Provide upper limit and lower limit of y variable. If you have selected the definite option.

Step 6. Click on "CALCULATE" button to get step by step accurate results.

## FAQs

### Is double integral volume or area?

The double integral is way of finding surface area over a two- dimensional shape. We can find the area of a rectangular region by using double integral. Double integral denotes surface area of a shape in two-dimensions while the triple integral is the volume of an object in three-dimensions.

### What is double integral used for?

The double integral is used to calculate surface area of a shape in two-dimensions. It means that we need to integral two times to get the surface area. It follows the rules of integration to solve integrals.

### What is an equivalent double integral with the order of integration reversed?

The reverse order of integration is a technique of swapping upper and lower limits of the integral. It makes the integration of a function easy. For example, if you have a region indydx, you can change is to dxdy along with the changing in the upper and lower limits.

### What is the difference between double integral and surface integral?

Double integral is used to evaluate integral of flat shape in two-dimensions. Whereas the surface integral is used to evaluate integral of a curved surface in two dimensions. Sometimes, the double integral can also written as surface integral and we can calculate it by using double integration solver above.

### What is an iterated double integral?

The double integral is also referred to iterated double integral. It is because the function is to be integrated with respect to two variables i.e. x and y. First we evaluate integral with respect to one variable then with respect to the other one. You can also calcuate this by using iterated integral calculator.

### Can a double integral be negative?

Yes, the double integral of a function can be negative. But if the function is negative then it can be considered a signed volume. But the volume and areas are not negative.

### Can you split up a double integral?

Yes, you can split a double integral into iterated integrals. Integrals can be split according to the involved variables. For example, in the follow integral, we can split it into two parts.

∫ f(x) dxdy = ∫ f(x) dx + ∫ f(x) dy

For consolidating your calculations regarding cylindrical shells, use shell method integral calculator. You can also find more about cylindrical shells, volume of solid of revolutions by reading latest articles in the blog section.

• Ian