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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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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