Basic Calculus
Storyboard Tekst
- ETHAN ENCOUNTERS
- I'm exhausted
- Why,Ethan?
- So Class,it's Basic Calculus time!
- Here we go again...
- THE BEGINNING
- ∫2xcos(x^2+1)dxu=x^2+1When you want to watch an example of this class you may visit the link : https://www.youtube.com/watch?v=sci1pls4Lc8
- I'll teach you how integral by substitutionworks!
- I don't get it..
- The substitution rule is like a chain rule in reverseu=g(x) --> ∫f(u)du
- Engineers, for example, use integrals to determine the shape of building constructions or the length of power cable required to connect two substations, among other things. It is used in Science to solve many derivations of Physics topics such as the center of gravity, etc.
- Integration by substitution is a method for evaluating integrals and antiderivatives in calculus. It is also known as u-substitution or change of variables.
- Example:∫2x(x^2+3)^2dxlet u= x^2+3du/dx=2xdu=2xdx
- Applications: -It is a method to add quickly ,which other wise would have taken a long time -The integral calculus is a set of principles,theorems and so on.
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- Integral calculus aids in thediscovery of a function's anti-derivatives. These anti-derivatives are also known as function integrals. Integration refers to the process of determining a function's anti-derivative.
- Let's go, and learn a new things about Basic Calculus!
- Let's go and learn!
- You're welcome,Ethan!
- Thank you so much,Daniel!Because of you,I learned a lot of things about Integral Calculus.
- Understanding a lesson may not always be easy but through Understanding a lesson may not always be easy but through perseverance, it will enable to enhance your skills and learn more in the process.
- I agree! Let's continue learning while living our lives to the fullest.
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