5. 15: I can use shortcuts to compute antiderivatives for sums, constant multiples, and power, poly- nomial, trig, exponential functions and 1/x. (a) Consider these indefinite integrals, some of which may be simplified prior to integration: x + 1 |√₁- 4- x² dx 3x 1 3 (b) Copy down your problem from WeBWorK, Set 15, problem 7: 9 1 ( 7 + 2/3) dx 13x. dx dx Identify the one integral above that can be evaluated using the antiderivative shortcuts we have learned so far in class this semester. Copy the integral and write its most general antiderivative. (Ignore the other two integrals.) Show all supporting work. Show all the work used to evaluate this indefinite integral, and include your final answer.
5. 15: I can use shortcuts to compute antiderivatives for sums, constant multiples, and power, poly- nomial, trig, exponential functions and 1/x. (a) Consider these indefinite integrals, some of which may be simplified prior to integration: x + 1 |√₁- 4- x² dx 3x 1 3 (b) Copy down your problem from WeBWorK, Set 15, problem 7: 9 1 ( 7 + 2/3) dx 13x. dx dx Identify the one integral above that can be evaluated using the antiderivative shortcuts we have learned so far in class this semester. Copy the integral and write its most general antiderivative. (Ignore the other two integrals.) Show all supporting work. Show all the work used to evaluate this indefinite integral, and include your final answer.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:5. 15: I can use shortcuts to compute antiderivatives for sums, constant multiples, and power, poly-
nomial, trig, exponential functions and 1/x.
(a) Consider these indefinite integrals, some of which may be simplified prior to integration:
3x
S=
x + 1
dx
dx
x2
√4 - x² dr
Identify the one integral above that can be evaluated using the antiderivative shortcuts we
have learned so far in class this semester. Copy the integral and write its most general
antiderivative. (Ignore the other two integrals.) Show all supporting work.
(b) Copy down your problem from WeBWorK, Set 15, problem 7:
q
1 (27/6 + 2/3x) dx
Show all the work used to evaluate this indefinite integral, and include your final answer.
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