Math 12_Quiz #3
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* Neatly show all necessary steps (or explanations) for credit. Do all problems analytically. Answers
from graphing calculator are not acceptable. Circle or box your answer.
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1. (4pts) Find the derivative. Write your answer
Section 6.2: Integration by Substitution
Integration by substitution is like doing the chain rule backwards. The goal is to make an appropriate
substitution allowing you to rewrite the integrand into one for which you can easily find the antiderivative.
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Section 6.1 Antiderivatives and the Rules of Integration
If we know the velocity of a moving object at any time t, can we find its position at any time t?
If we how fast population/ revenue/etc. is changing at any time t, can we find the total
population/