PotW: Integration by Substitution [Calculus]
368 views · Published 5 December 2017 · 5:24 · Indexed 24 October 2026
Channel: Center of Math · 2017 · Film & Animation
It should be noted that uniquely the limits of integration do not change for this problem. You can check this by plugging x=0, x=1 into x=u^6 which would give you the limits of integration for du, and are the same as for the original function The last step of plugging in u=1, it should simplify to 6((1/3)-(1/2)+1-ln|2|=2-3+6-6ln|2|=5-6ln|2| If this video is confusing, be sure to check out our blog for the full solution transcript! https://centerofmathematics.blogspot.com/2017/12/problem-of-week-12-5-17-integration-by.html
More from this channel
-
2:56
The State of the Textbook Industry
-
58:27
Calculus Help: Average Rates of Change - Differential Calculus
-
57:52
Prelude to Instantaneous Rate of Changes - Differential Calculus
-
1:05:33
The Exponential Function - Differential Calculus
-
1:01:14
Graphing - Differential Calculus
-
1:01:29
Sums and Differences - Integral Calculus
-
47:47
Improper Integrals - Integral Calculus
-
53:17
The Definite Integral - Integral Calculus