Mastering Calculus: An Introduction to Integrals
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- čas přidán 3. 04. 2023
- Welcome to our introductory video on integrals! In this video, we'll cover the basics of integrals and how they are used in calculus. Whether you're a beginner or need a refresher, we've got you covered.
We'll start by discussing what integrals are and why they are important in calculus. From there, we'll dive into the different types of integrals, including definite and indefinite integrals, and discuss how to solve them.
We'll also cover some common integration techniques, such as u-substitution and integration by parts. And to help you understand the concepts better, we'll walk you through several examples of integrating different functions.
By the end of this video, you'll have a solid foundation in integrals and be well on your way to mastering calculus. So sit back, relax, and join us for an exciting journey into the world of integrals!
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Twitter: / jasongibsonmath
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I got through Cal 1 and Cal 2 taught in University, but it was never taught so succinctly as this prof. Thank-you. (fond memories of my Functions, Trig and Pre-Cal prof. in Con't Ed. He taught so well just like this prof. Amazing.)
This guy GOATED. I'm learning calculus for fun now.
Yes!
Me too!
Breaking it more simpler here , thanks so much 💯✅✅
wow you are the real teacher and lots of love love you so much.
Thank you so much 😀
Thank you so much incredible teacher!!!
You're very welcome!
You are right.
How weird I just started my calculus class this will sure help
You're a great teacher. Thank you for helping me to understanding what I never thought I could.
Interesting! Thank you!
I have been learning calculus for 3 years,but this guy is a genius,his approach makes the topic more fun.
It's a value vedio. Thank you very much indeed. Sir.
In some countries, which I will remember as " Leibnitz Countries", the term "Indefinite" is replaced with the term "undetermined".
May God bless you, and make you triumphant!
Hello again, Jason. I have searched hither and tither in your playlists but I can't seem to find exactly which video introduces calculus for an absolute beginner. I have got up-to-speed with all the pre-lessons such as geometery, algebra etc... and I *think* I'm ready for calculus? (Not absolutely sure about this) Thanks so much in advance.
Try his channel playlists. Calculus 1 Tutor and Calculus 1 Limits Tutor. Anything marked “Calculus 1”. Then Integral or Integration in title. 😊
Integers my favourite 🤸🤸🤸♥️💯💫
Thank you
Nice 👍
Riemann sums!!!
Dale steyn teaching maths
Integrals were a lot better for me than derivatives.
Yeah, it’s much more challenging which is fun.
We can find the area of a linear function y=x between limits 0 and 1 using def integrals i.e 1/2. But this is approximated by using the non-linear function i.e x^2/2 between the same limits. It's strange how it works.
... Good day to you, If you draw the graph of y = x between x = 0 and x = 1, and you want to find the area under the graph between x = 0 and x = 1, you can easily see that this area is 1/2 of the area of a 1 unit by 1 unit SQUARE, in other words 1/2 of 1 unit^2. Now looking closely at the non-linear function x^2/2 (= antiderivative of x), you can see that it also in general form represents 1/2 of the area of a SQUARE: (1/2)*(length x)*(width x) = (1/2)*(x)*(x) = x^2/2 ... I hope this makes a little sense to you now! Good luck and take care, Jan-W
@@jan-willemreens9010 yes,integral of y=x is x^2/2 that resemble the geometrical formula to find the area of a triangle
@@hemrajue3434... You are completely right, but also 1/2 of the area of a SQUARE, now you understand that applying the antiderivative or integral of any function in general has to do with area under a graph between any specified boundaries, so it must be a little less strange to you how it works, I guess ...
@@jan-willemreens9010 true, applicable for any linear function like y=3x+2 that def integral gives us area of three unit triangles plus area of a rectangle under it.
@@hemrajue3434 ... Fantastic Hemraju E!, and the nice thing with integrals is that they also deal with non-linear graphs (curves) areas which are not easy to calculate with just relatively simple geometrical objects like triangles, squares, rectangles etc ...
When in doubt, integrate. Old engineering exam joke !