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And we'll come back to a class of our course about the complete introduction to data science with the

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use of Python.

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So in this class, we are going to talk about another package that is included inside of SCoPI.

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And in this case, it's going to be the integration package which is integrated.

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So basically, to understand this package well, to understand what is it?

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Have a simple definition.

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Basically, the SCoPI integrates a package, will provide several integration techniques that includes

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an ordinary differential equation integrated, and the review of the model is provided by the HELP Command.

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So basically, you can use the help integrate methods for integrating functions, given function objects.

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In other words, the integration function is simply used to find displacement areas and it can deal

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with adding slices to the whole.

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So the complete hold that we have.

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So yes, it gets complicated at first.

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But once you are used to use this well, those functions, you'll see it's not that complicated.

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So to understand the integrated integrating support package, I have two functions that are not that

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complicated, but you need some basic mathematical knowledge that it's the quite function and the so

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basically the quad function will simply calculate the integral of a function which has one variable

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and the DBL quad function will calculate the double integral of a function which has to value.

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So basically we'll work with one as well as two tables.

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Once again, my goal right here is not for you to understand completely those functions, but simply

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to understand how they work.

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And after that it will simply be practice.

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All right.

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So let's start.

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So the first thing that we need to do is pretty simple.

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It's important Kibuye, as we always do.

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So we'll import Skype as S.P..

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Then what I want to do is want to import our sub package in this case, the supposition that we will

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work with will be integrated.

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So basically, how do we import our sub package?

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It's pretty simple, right, from Skype import.

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So what exactly we want to import.

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We want to import, integrate.

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So here we have our sub package that we have the suppliers that we have just imported and now we want

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to do is want to work with our first type of function.

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So in this case, our first function will be the quad function.

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So basically the quad function will is a mirror that will that can get the integration of a given function

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from limit eight to be using our function.

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So in other words, what does it mean?

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It will simply calculate integral of a function which has one value in the difference the debulked,

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the function that we are going to talk about a bit later, we'll calculate in double integral of a function

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which has to be able.

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So basically the first one has one variable and the second one has two variables, but it's going to

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be a double integral as well.

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All right.

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So how exactly does everything work?

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Pretty simple.

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First thing that we need to do is we need to create a value.

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So let's create a variable.

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And this value, let's call it variable.

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Once we or one in this variable, what we what we'll set we'll write down our parameters.

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In this case, it's going to be lambda.

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So Lambda X two points.

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And what how exactly we want lambda x.

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So basically we want to actually X exponent three.

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So X multiplication multiplication sign two times three.

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Then why do we want to create our calculation variables, a variable where we are going to store all

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our calculation.

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So let's call it function one.

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So function one in this case will be equal to integrate.

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So once again, right now what we write down, why write down integrate?

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Because we are going to look for a function that is inside, integrate some package and the name of

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this function is Quad.

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So since we're working with the function that is integrate inside of the integrate some package we write

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down, integrate that QUAT, then next thing that we need to write down is will be our parameters.

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So the first our parameters are stored inside of one.

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So we just write down one and then we need to write down our limits or limits would be, let's say,

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between zero and six.

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All right.

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Next thing that we want to do is print everything.

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So simply write down print and what exactly what the print want to print function.

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So here it is right there.

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Then we run our up.

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So you'll see it's going to take a little bit of time.

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But in this case it was pretty automatic.

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So this would be the answer of this integration.

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So basically it will look something like this.

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All right.

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So right now that we have that, you guys saw what it looks like to to make the integrate quad function.

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Let's make it a bit more complicated and work with the double.

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So basically the double integration of in this case to viable.

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So basically, we'll have a function that has two variables.

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So X and Y.

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So what we'll do right now, we'll simply delete the first part and we'll keep everyone.

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So basically, here are one in this case will be equal to we need an X and a Y because we have in this

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case two variables.

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So basically, we'll have our Y at first, then we'll have our x ray done X and Y two points, and then

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we can write down our operations.

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Let's say in this case it's going to be X multiplied by I don't know why exponent for something like

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this.

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All right, then, when we have this, the next thing that we need to do, we'll do the exact same thing.

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So we need to create our function so the our variable, where we will store our calculation and we can

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write down our function.

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So it will work that pretty much the same way.

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So it's going to be integrated point.

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So right now, since we are since we're working with the integrated package, we start with integrate,

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then write down our function, which will be Dibbell Quod.

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So in this case, we have it right here.

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First thing that we'll write down will be our parameter parameters.

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So the one then we write down our in this case, our limits.

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So our limits, let's say, would be between zero and six like we did in our first example.

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And then we'll write down our function, which would be, let's say, for example, Lambda.

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X would be equal, will be zero and lambda X.

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One.

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All right, so we have everything that we need.

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Next thing that will do, it will simply print our function.

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So we'll print function one and we can run or so what we'll do once again, it will give us the answer

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of the double integration.

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All right.

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So as you can see, guys, yes, it's a bit more complicated to understand and to to be able to explain

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all this.

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I need to make a separate course about all those functions, because you need a good mathematical knowledge.

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You need really good mathematical knowledge.

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Once again, my goal here is really to give you an introduction so you guys understand a little bit

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how all this works.

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So if you guys are able to write down those functions, have been able to write down those functions,

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and as you can see, you have this sub package inside of Python, inside of SCoPI, sorry, that is

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inside of Python that you can use if you guys decide to make some more advanced Python apps in the future.

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So that's it for us guys, guys.

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And see all our next class.