Mastering Calculus: An Introduction to Integrals

Рет қаралды 18,726

Жыл бұрын

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!
More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath

Пікірлер: 35

@yusufasaidu4201 5 күн бұрын

This man is a greatest of all time.i have watched a bounce of videos on KZfaq, but still i can't figure out how to balance equation in chemistry, but after watching his videos i can now balance equation in chemistry without having any single issue

@kubolor1234 Жыл бұрын

This guy GOATED. I'm learning calculus for fun now.

@MathAndScience Жыл бұрын

Yes!

@dextermorgan7441 3 ай бұрын

Me too!

@raphaelgomes2947 14 күн бұрын

That's exactly what I'm doing. It's much more fun learning calculus without the boredom of tests.

@filmic1 8 ай бұрын

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.)

@Joabfilandus001 Жыл бұрын

Breaking it more simpler here , thanks so much 💯✅✅

@Ah-dh7oe Жыл бұрын

I have been learning calculus for 3 years,but this guy is a genius,his approach makes the topic more fun.

@sharondavis3535 5 ай бұрын

You're a great teacher. Thank you for helping me to understanding what I never thought I could.

@teachnicalnepal3403 Жыл бұрын

wow you are the real teacher and lots of love love you so much.

@MathAndScience Жыл бұрын

Thank you so much 😀

@wilkyclergeot9416 Жыл бұрын

Thank you so much incredible teacher!!!

@MathAndScience Жыл бұрын

You're very welcome!

@Elo-hv3fw Жыл бұрын

You are right.

@naderhumood1199 Жыл бұрын

It's a value vedio. Thank you very much indeed. Sir.

@Phymacss Жыл бұрын

Interesting! Thank you!

@QueenGreyClouds Жыл бұрын

How weird I just started my calculus class this will sure help

@Elo-hv3fw Жыл бұрын

In some countries, which I will remember as " Leibnitz Countries", the term "Indefinite" is replaced with the term "undetermined".

@andrewjustin256 Жыл бұрын

May God bless you, and make you triumphant!

@mako2918 5 ай бұрын

Thank you

@AirwavesEnglish Жыл бұрын

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.

@buzzz241 6 ай бұрын

Try his channel playlists. Calculus 1 Tutor and Calculus 1 Limits Tutor. Anything marked “Calculus 1”. Then Integral or Integration in title. 😊

@thatomofolo452 Жыл бұрын

Integers my favourite 🤸🤸🤸♥️💯💫

@drumtwo4seven Жыл бұрын

Nice 👍

@jasonlove8733 Жыл бұрын

Riemann sums!!!

@hemrajue3434 Жыл бұрын

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.

@jan-willemreens9010 Жыл бұрын

... 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

@hemrajue3434 Жыл бұрын

@@jan-willemreens9010 yes,integral of y=x is x^2/2 that resemble the geometrical formula to find the area of a triangle

@jan-willemreens9010 Жыл бұрын

@@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 ...

@hemrajue3434 Жыл бұрын

@@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.

@jan-willemreens9010 Жыл бұрын

@@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 ...