Calculus 1 - Integration & Antiderivatives
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- Опубликовано: 8 июл 2024
- This calculus 1 video tutorial provides a basic introduction into integration. It explains how to find the antiderivative of many functions.
Full 1 Hour 13 Minute Video: / mathsciencetutor
Direct Link to The Full Video:
bit.ly/3DUYLdO
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Full 73 Minute Video on RUclips:
• Calculus 1 - Integrati...
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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
Full 1 Hour 13 Minute Video: www.patreon.com/MathScienceTutor
Direct Link to The Full Video: bit.ly/3DUYLdO
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Antiderivatives are simple enough, it's the crazy leap from Calculus to Trig in integrations that get to me.
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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
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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
I'm pretty sure it's the opposite
The derivative of Sin(x) is Cos(x) and the derivative of Cos(x) is -Sin(x) (so you'd be going clockwise for derivatives and counterclockwise for integrals)
I'm pretty sure it's the opposite
The derivative of Sin(x) is Cos(x) and the derivative of Cos(x) is -Sin(x) (so you'd be going clockwise for derivatives and counterclockwise for integrals)
@@tawfekbaseel7377
Draw a picture going counterclockwise (Sinx, Cosx, -Sinx, -Cosx) and you will see what I was talking about. counterclockwise: Opposite to the way in which the hands of a clock move around.
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Professor Organic Chemistry Tutor, thank you for an outstanding video/lecture on Integration and Antiderivatives in Calculus One/Two. Integration and Antiderivatives are the heart and soul of Calculus. At the 38:00-minute mark in the video, the integral of dx/x is equal to the ln of the absolute value of x plus a constant. Professor Organic Chemistry Tutor, you have the integral of dx/x equal to the ln of x plus a constant. At the 38:52-minute mark in the video, the integral of 7dx/x is equal to 7 ln of the absolute value of x plus a constant. Professor Organic Chemistry Tutor, you have the integral of 7dx/x equal to 7 ln of x plus a constant. Please correct these errors in the video.
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