Calculus 1 - Integration & Antiderivatives

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This calculus 1 video tutorial provides a basic introduction into integration. It explains how to find the antiderivative of many functions.

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Here is a list of topics:
1. Power Rule of Integration
2. Antiderivative of Polynomial Functions
3. Integrating Square Root Functions
4. Antiderivatives of Rational Functions
5. Indefinite Integral of Exponential Functions
6. Integration By U-substitution
7. Definite Integral vs Indefinite Integral
8. Antiderivative of Trigonometric Functions
9. Integrating Logarithmic Functions
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hexagonmagnetics
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Why am I attending calc lectures when my man "Organic Chem Tutor" teaches the lesson 10x better than any other teacher. We are really thankful to have someone like you.

hiradt
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1:00 - Power Rule of Integration
6:20 - Antiderivative of Polynomial Functions
8:00 - Integrating Square Root Functions
29:32 - Antiderivatives of Rational Functions

18:00 - Indefinite Integral of Exponential Functions
18:23 - definite integral of exponential
22:20 - Fundamental Theorem Of Calculus
23:52 - derivative of exponential functions

26:10 - Integration By U-substitution
17:03 - Definite Integral vs Indefinite Integral
13:14 - Antiderivative of Trigonometric Functions
37:45 - Integrating Logarithmic Functions

atharvapurohit
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I just started the video and I just wanna tell you right now you're the best person in the world

gregheffeley
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Antiderivatives are simple enough, it's the crazy leap from Calculus to Trig in integrations that get to me.

codafett
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pipinanaC
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anissgacem
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charleswanjau
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To remember the Derivatives and Integrals of Sin x is Cos x:
Just draw a circle shape using clockwise and counterclockwise.
start going counterclockwise Sinx, Cosx, -Sinx, -Cosx
for Derivative go counterclockwise.
for Integrals go clockwise
I wish I can add an image to the comments to make it more clear

Canda-fhxc
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xcl
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This is the best video I have seen in my entire life. It’s just as fast as I need it to be. It goes over a ton of different examples, all of different kinds. It covers multiple strategies (regular, u-sub) and rules. Thank you!!

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shohanurrahman
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