Calculus 2, Lecture 2A, Integration by Substitution Examples, Check with the Chain Rule |
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(0:00) Reminder about Mini-Exam. (2:01) Go over things on Moodle. (6:21) Overview of Lectures 2A and 2B. (6:52) Integrate 2x*(x^2 + 4)^(10) by substitution, discussing Leibniz notation, then check with the Chain Rule. (17:09) Integrate sin(sqrt(x))/sqrt(x) by substitution, checking with the Chain Rule. (23:01) Do a definite integral from x = 1 to x = 2 of x^(3)*e^(x^4), changing the limits of integration after substitution. (28:53) Check the answer with Mathematica. |