Fundamental Thereom of Calculus Explained - Part 1 & 2 Examples - Definite Integral
This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative.
Antiderivatives:
• Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
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Properties of Definite Integrals:
• Properties of Definite...
Rectilinear Motion Problems:
• Rectilinear Motion Pro...
Sigma Notation - Calculus:
• Summation Formulas and...
Riemann Sums - Area:
• Riemann Sums - Left En...
The Midpoint Rule:
• Midpoint Rule & Rieman...
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Finding Area - Limit Definition:
• Finding The Area Using...
Definite Integrals - Geometry:
• Evaluating Definite In...
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
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2 жыл бұрын
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4 жыл бұрын
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6 жыл бұрын
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3 жыл бұрын
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4 жыл бұрын
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4 жыл бұрын
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4 жыл бұрын
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4 жыл бұрын
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4 жыл бұрын
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3 жыл бұрын
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3 жыл бұрын
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3 жыл бұрын
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5 жыл бұрын
Yw
I found a mistake in the Title for this video is "Fundamental Thereom" 😀... Thanks a lot for the lecture. 😊
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Legend.
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Why do you multiply by the derivative of the upper bound? at 7:15
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5 жыл бұрын
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If you don’t mind me asking, At 35:57 shouldn’t the term be In(-2x)?
@rlrrlrll
4 жыл бұрын
ln(x) is defined only with positive numbers. So to say 'inside' the ln you can only put positive numbers. Hope that helps.
@user-xl1ig1bn6i
7 ай бұрын
1. Log and Ln functions cannot take -ve numbers. They are undefined in such a situation. They only take positive values. 2. - ln(2x).2=-2ln (2x) since d/dx [-F(t)] = -f(t).t' since t is a function of x. i.e. the derivative of a composite function. NB: (a) f(t) is F' and t'(x) is derivative of t. (b) f(t)=-ln t and t is 2x and t' is 2 I hope you understand.
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Constant(x): 5:50
@moondxstq4297
3 жыл бұрын
“x” at lower limit: 9:35
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When do you need to put plus C?
@believer8754
2 жыл бұрын
It's constant just it is rules and derivative of constant is zero so It doesn't effect just follow the rule
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im pretty sure you have part 1 and part 2 reversed
7:52
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11:33
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@lillianlou
Жыл бұрын
Preach
anybody, 35:55 can you factor out an ln and get ln(18×^3 - 4x] as the answer?
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2 жыл бұрын
so did you ever figure it out?
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41:18 the answer is wrong he didn't take the antiderivative. answer must be -> 6x^2 sqrt(3+x^6) - 8x^3 sqrt(3+x^4) -> all in one line. not rational
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6 жыл бұрын
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6 жыл бұрын
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6 жыл бұрын
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5 жыл бұрын
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5 жыл бұрын
Oscar8mx my level of competence is high enough that I don’t need formulas constantly displayed for me
What's 9 + 10? 13:13
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6 жыл бұрын
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5 жыл бұрын
21
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6 жыл бұрын
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