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Recall the following indefinite integrals for basic proper rational functions, where a and b are constants and a # 0. / ₂ dx = +c 1 ax+b (a)

Recall the following indefinite integrals for basic proper rational functions, where a and b are constants and a # 0. / ₂ dx = +c 1 ax+b (a)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Recall the following indefinite integrals for basic proper rational functions, where a and b are constants and a # 0. 1 (al/de-+c dx = ax+b (b) If n is an integer greater than 1, then 1 J +c (c) (ax+b) n 1 (2)/²+0 dx x² + a² (d) ¹/= dx = C x² + a² =+C = =+c -dx = (e) If n is an integer greater than 1, then √ (x² + a²)n d Hint: For (e), use the substitution u = x² + a². Note: Remember to use absolute values when working with logs i.e. ½ dx = ln(abs(x)) + C dx = +c
Transcribed Image Text:Recall the following indefinite integrals for basic proper rational functions, where a and b are constants and a # 0. 1 (al/de-+c dx = ax+b (b) If n is an integer greater than 1, then 1 J +c (c) (ax+b) n 1 (2)/²+0 dx x² + a² (d) ¹/= dx = C x² + a² =+C = =+c -dx = (e) If n is an integer greater than 1, then √ (x² + a²)n d Hint: For (e), use the substitution u = x² + a². Note: Remember to use absolute values when working with logs i.e. ½ dx = ln(abs(x)) + C dx = +c
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