How To Integrate Using U-Substitution
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- Опубликовано: 6 сен 2024
- This calculus video tutorial provides a basic introduction into u-substitution. It explains how to integrate using u-substitution. You need to determine which part of the function to set equal to the u variable and you to find the derivative of u to get du and solve for dx. After replacing all x variables with u variables, find the antiderivative of f(u) and substitute u in the new function with x variables. This video contains plenty of examples and practice problems of finding the indefinite integral using u-substitution. Examples include polynomial functions, trigonometric functions, exponential functions, square root functions, and rational functions.
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What is dx for? Why? Why is it always at the end of the notation?
It stands for derivative of x, right? So X is a derivative? Is there a video for the notation, and the difference between definite and indefinite integrals? Without that, I'm going to be stumped for most of the time.
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Help I don't understand.
(3x⁵-2x³+5x²-2)/x³+1 dx
Bro I just watched the entire recording of my professor solving multiple problems for this and all it took was this video to help me understand wtf he was doing during the whole du=dx step. He teaches like we already know the concepts and it's so frustrating. Love this guy's videos. Comprehensive, easy to follow, and he explains what he does each step! You deserve my tuition money more than they do.
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you gave me a big "click" moment. it all seemed so hard, and I was missing some gaps in my lectures. My instructor never solved for dx, and I wondered how he magically transformed the expression. Thank you for existing, and thank you for sharing what you share. I wish to be in a stable financial situation to support the work you do , so that other students may feel the clarity I feel right now.
one of my favorite things about my current calc professor is that he solves for dX, but says we can skip that step if we're comfortable with it. actual lifesaver of a professor.
This is exactly why I searched u substitution videos. I could get the right answer but never knew why things like the dx and other terms magically disappeared. Solving for dx explains it perfectly.
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me too my exam is in 6 hours 20 minutes
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17 June 2022 - Summer Term 213
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Professor Organic Chemistry Tutor, thank you for a well-prepared video/lecture on How to Integrate Using U-Substitution in Calculus One, Two, Three, Differential Equations and beyond. Basic Integration is simple to follow and understand in Calculus. Pattern recognition also helps with learning this material. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.
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16:15 an extra variable
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Hi! I have a similar problem, however my x term outside of the root is x^2. And the x term under the root is of degree 1. Would i still take the same approach as you?
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