Latex Integral

The integral is widely used in mathematics. In the integral section, we can use fractions, single variable, and derivatives. Integrals are the fundamental objects of calculus.

The integrals are mostly used to find volumes, areas, etc.

The \int is a command used for the integral symbol (∫).

For example,

The output of \int x will be ∫x

The \mathrm command is used to write the derivative function. It is written as:

Where d is the derivation of the function y. We can also change the variable according to the requirements.

The output of \mathrm{d}x will be ∫dx.

The \quad command is used to maintain the distance between the text and the math variable. There are other spacing commands based on the quad, which are listed below:

• \;

It is used to create large space distance.

• \:

It is used to create medium space distance.

• \,

It is used to create small space distance.

• \!

It is used to create negative space distance.

Let's understand with an example. The example consists of the integral equation with its corresponding limits. You can modify the equation and limits according to the requirements.

The code for such an example is given below:

Output

To insert derivative in the above equation, we have to add the commands for the derivative.

The code for such an example is given below:

Output

We can also modify the bracket type according to the requirements.

Multiple Integrals

The multiple integrals are used in mathematics, such as derivations of various laws, theorems, etc.

Let's understand all the multiple integrals with an example.

1) The code to insert the double integral is given below:

Output

2) The code to add the triplet integral is given below:

Output

3) The code to insert the integral four times at once is given below:

Output

Products

The product symbol is also used in mathematics. The \prod command is used to specify the product symbol in Latex.

Let's understand it with an example.

The code will be the same as above examples. The difference will be in the \prod command and its range.

The code for such an example is given below:

Output

You can also modify the above equation and the range according to the requirements.