52. dx 2x + 3 -1 CONCEPT CHECK 1. Log Rule for Integration Can you use the Log Rule to find the integral below? Explain. dx ( – 4)3 2. Long Division Explain when to use long division before applying the Log Rule. 3. Guidelines for Integration Describe two ways to alter an integrand so that it fits an integration formula. 4. Trigonometric Functions Integrating which trigonometric function results in In|sin x| + C?

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Calculus 11th Edition by Ron Larson

Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions

Evaluating a Definite Integral: In Exercises 51–58, evaluate the definite integral. Use a graphing utility to verify your result.

Please show all work and explain steps (including graph), thank you!

52.
dx
2x + 3
-1
Transcribed Image Text:52. dx 2x + 3 -1
CONCEPT CHECK
1. Log Rule for Integration Can you use the Log Rule
to find the integral below? Explain.
dx
( – 4)3
2. Long Division Explain when to use long division
before applying the Log Rule.
3. Guidelines for Integration Describe two ways to
alter an integrand so that it fits an integration formula.
4. Trigonometric Functions Integrating which
trigonometric function results in In|sin x| + C?
Transcribed Image Text:CONCEPT CHECK 1. Log Rule for Integration Can you use the Log Rule to find the integral below? Explain. dx ( – 4)3 2. Long Division Explain when to use long division before applying the Log Rule. 3. Guidelines for Integration Describe two ways to alter an integrand so that it fits an integration formula. 4. Trigonometric Functions Integrating which trigonometric function results in In|sin x| + C?
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