Barrow’s rule is a theorem that is used to make concrete calculations. It is not something that is relatively new. In fact, these calculations had already been done for so many years, like saying that Archimedes already calculated it. In the end, as in everything that has to do with mathematics, it was already invented. They were light years ahead of us from what we already know now or can ever know.
Among other things, thanks to these calculations, it is possible to solve, among others, the volume, the inverse operations of derivation and the result of integration.
Remember that Barrow’s rule is indicated and helps a lot to be able to do and decipher what are called definite integral calculations. But be careful… because despite this, to be able to find the primitive of a function, despite this rule, it is not always easy or it solves it.
The inverse function is a way of calculating that is done in reverse. In this way it breaks down and they become equitable. We will show you how you can do exercises with inverse calculations, which a priori, is much easier than it seems to be able to find the initial number.
Instructions
- Barrow’s rule gives rise to Barrow’s theorems. It must be said that his “invention” was extremely important. In fact, thanks to this law or these calculations, it is possible to know how or what the so-called integral function is.
- If we talk about the integral function, we must know what it is and what it is about. So, what is it, how is it calculated, what does it do or what is it for?
- We explain very briefly what this function is, we must comment, that it is about coordinates. In fact, they always come in a binomial (a set of two). They are easily recognizable because they usually appear with the following coordinates: Y and X.
- When the coordinates are “read”, we must always know that, in general, the X is given the value together with the Y. The letter or value (as it is usually called) to the letter “y” also comes awarded with the curve and also with the slope.
- Therefore, having said this, Barrow’s rule will help us to be able to solve the calculations with graphs. Yes, those graphics that give vertigo, full of curves and slopes…
- If you are more involved in mathematics, you will have no problem knowing how to relate the names with theorems and/or mathematical operations. But if it is not like that, we will have to begin to be clear about the concepts and know what the words mean within this mathematical theorem. You will know it or you will hear it a lot, if you need to do analytical type calculations. Of course, the calculator, a pencil and a piece of paper will help. Do not lose patience and practice a lot.
- Now we go a little further. We are already fully involved in operations with integral calls and differential calculations. Let us remember that the ordinates that are the X and the Y will always be found.
- The “letters” are called function domains. And within this domain of function they are differentiated by the values of the letters. In the case of y, it is called or called range in the function. The x, is what is called the function. Be careful, because there is also another factor at play… there is what is called the derivative. What is? It is the easiest thing to recognize and know where it is. Why? Because it is neither more nor less than the curve. Of course, look closely, because it is always the area with the slope.
- You will always see the following. In the theoremto be able to find the derivative of the function that is either continuous or integral. The continuous function is none other than this: F(X) and when it is its own, you will see it reflected like this: F(X). the same? No. One will always appear with the letter in upper case and the other in lower case.
- In short, when the functions are deciphered, it is possible to free the continuum and reach what it has to be, the so-called original function.
- The inverse operations (you will find them many times in the exercises) are the following, we give you simplified and simple examples so that you can understand them quickly. Don’t forget what it means; If there is an exercise done in reverse, you have to start until you find the starting number. Example: 5+1=6. As you can see, the number with which it has started is five, then one has been added.
- The next step would be to look at the initial number(it would be five) because it is the one we want to return to. Therefore, we take the number one and subtract six from it. Why? Because six was the number he had given us. One is the other number in the set. If now it is subtracted, it gives us again, the initial number, that we remember, is five. Simple, right? We have already done right now, an operation called inverse.
- Now that you know how to do it, you can do it with any operation. From addition, subtraction, division and multiplication. They are always done the same way.
- It can help you in the processes, a calculator of the scientific type, which recognizes more complex operations (like this one).
- Look for programs (it won’t be complicated on the internet) on student pages or study websites, where there are programs that will teach you step by step to be able to do the exercises and understand how Barrow’s rule is applied. There are even options at different levels of learning. Very useful to start from scratch and go up the difficulty levels. They will also indicate the errors, where you have done wrong and even the results will come out. Totally essential for those who need to learn or simply not forget the formulas and keep practicing.
What do you need:
- A notebook, a notebook, a notepad, folios, etc. You will need it to do calculations and take notes.
- A pencil, pen, marker, etc.
- An eraser.
- Tipex (if you use pen).
- Mechanical pencil (if the pencil is lead) or a pencil sharpener, if you use a pencil.
- A calculator that is scientific.
- Be patient… if the exercises don’t work out for you, don’t give up.
- Watch videos on the internet. It will be much easier for you to understand all the steps and how it is done.
- Don’t stop practicing. As in everything, you have to dedicate time and feel like it. Practice to be able to carry out more operations and to be able to make them more complicated.
Tips
Those considered definite integrals, summarizing, have the function of being able to calculate the zone of the area. This is always found in the area below the curve. If you look closely, it will be in the area of the variable.
Do not give up or throw in the towel… even though you may think that doing these exercises lead to nothing, or that you are not going to have to put them into practice in your life, that they are very difficult to do, etc. Keep in mind that, depending, for example, on what studies you want to do or what job you want to get to, it is essential to know how to make these calculations. If you are going to enter the university, depending on the career, it will be essential.
Don’t throw in the towel. If you find it difficult to understand the formulas that are given in writing or summarized, something that works very well is to look on the internet or use YouTube or teachers who give refresher classes or totally free classes, explained by video. You will be able to follow the exercises, copy them, follow them and then put them into practice. It is the only way to know if you are understanding what is explained to you and if you know it or not, put it into practice. It is the simplest option and, above all, economical that or pay a private teacher. But think about that you will have to pay him by the hour or by the day. On the internet the difference and the advantage is that everything is free. Don’t forget to have a calculator that is scientific. It will help you a lot and will get you out of more than one trouble. In addition, in institutes and universities, they let you take it and be able to use it in exams.
If you are going to introduce yourself or start with the university, surely, you have to learn with these operations and it will be essential for this, to put into practice and use, the Barrow rule. Just as it is essential, knowing how to do operations with fractions, algebra exercises, statistics, divisions, decomposing numbers, etc. And don’t forget, the calculator can save you and get you out of more than one trouble. But the calculations and steps can only be done by you. The calculator helps, but it doesn’t do the steps on paper.
From doncomos.com we try to summarize or explain as briefly and clearly how they are carried out or what is essential to know. But we are not mathematicians nor can we write the formulas to make it more enjoyable and simpler. We hope that the tricks that we have given you will serve you.