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Integration can be used whenever you have to multiply two numbers, one of which varies - for example, to calculate an area, you calculate height times width, but the height may vary in certain geometric figures.
Integration can also be used to calculate:
- Center of mass - you need to take the average of many pieces of mass
- Moment of inertia
- Area of a surface
- Volumes
- And many others more.
Integration can be used whenever you have to multiply two numbers, one of which varies - for example, to calculate an area, you calculate height times width, but the height may vary in certain geometric figures.Integration can also be used to calculate:
- Work = force times distance (force may not be constant).
- Center of mass - you need to take the average of many pieces of mass
- Moment of inertia
- Area of a surface
- Volumes
- And many others more.
Integration can be used whenever you have to multiply two numbers, one of which varies - for example, to calculate an area, you calculate height times width, but the height may vary in certain geometric figures.Integration can also be used to calculate:
- Work = force times distance (force may not be constant).
- Center of mass - you need to take the average of many pieces of mass
- Moment of inertia
- Area of a surface
- Volumes
- And many others more.
Integration can be used whenever you have to multiply two numbers, one of which varies - for example, to calculate an area, you calculate height times width, but the height may vary in certain geometric figures.Integration can also be used to calculate:
- Work = force times distance (force may not be constant).
- Center of mass - you need to take the average of many pieces of mass
- Moment of inertia
- Area of a surface
- Volumes
- And many others more.
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DevinIntegration can be used whenever you have to multiply two numbers, one of which varies - for example, to calculate an area, you calculate height times width, but the height may vary in certain geometric figures.
Integration can also be used to calculate:
- Center of mass - you need to take the average of many pieces of mass
- Moment of inertia
- Area of a surface
- Volumes
- And many others more.
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Where does the name calculus came from?
The term calculus comes directly from Latin. In Latin a calculus (noun) is a small stone used for counting, much like the beads on an abacus. One of the fundamental uses for modern calculus is integration, which is of course addition of infinitely small sections.
What is difference between pre-calculus and calculus?
Simple answer: Calculus involves derivation and integration, precal doesn't. Pre calculus gives you some of the algebraic, geometric and trigonometric understanding that is required to comprehend the concepts in calculus. Without the knowledge from precal, calculus would not be easily understood, as it is taught in schools today.
What is some vocabulary for calculus?
Calculus catch phrases:Dealing with two fundamental operations, differentiation and integration, carried out on functions.Purely theoretical aspects of these operations and their interrelation.Standard functionsDerivative of a function of one variable
What are some real life applications of calculus?
Pretty much any serious statistical model or experiment on anything will use basic calculus to interpret data. Anything that exponentially grows or decays (radioactive matter, bacteria, population growth, etc.) Anything that's built to be structurally sound. Anything that uses the EM spectra (radio, microwaves, visible light, etc.) All scientific industries use calculus practically constantly. And on and on and on... In reality, it's rarely pure theoretical calculus that's being done. Rather, another branch of math based on and built from the principles and results of calculus is primarily used called differential equations. Don't forget integration, the other "half" of calculus. That is as equally important in your listed applications. Also, both theoretical and applied calculus use both differentiation and integration. Differentiation isn't a separate branch of maths, but one of the two major branches of calculus as a whole.
Is Elementary Calculus the same as Pre-Calculus?
In short, no. Elementary calculus includes finding limits, basic differentiation and integration, dealing with sequences and series, and simple vector operations, among other concepts. Pre-calculus mostly focuses on the algebra necessary to perform those operations, with perhaps some introduction to limits or other simple ideas from elementary calculus.
