Evaluate the indefinite integral given below using the indicated substitution. /-20 -2(-2x +9)³ dx u = -2x +9 Provide your answer below: S-2(-2x+9)³ dx =
Evaluate the indefinite integral given below using the indicated substitution. /-20 -2(-2x +9)³ dx u = -2x +9 Provide your answer below: S-2(-2x+9)³ dx =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 65E
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![### Evaluating an Indefinite Integral with Substitution
#### Problem Statement
Evaluate the indefinite integral given below using the indicated substitution:
\[
\int -2(-2x + 9)^3 \, dx
\]
#### Suggested Substitution
Let:
\[
u = -2x + 9
\]
#### Solution Process
Provide your answer below:
\[
\int -2(-2x + 9)^3 \, dx = \boxed{}
\]
---
Here, you are requested to evaluate the given integral using the suggested substitution. Begin by substituting the expression for \( u \) in terms of \( x \), then proceed to integrate with respect to \( u \). Finally, substitute back in terms of \( x \) to find the solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd0fe7d7-67e9-4a97-be65-a878f77fe411%2F44bced5e-f51c-47e3-b5fc-61b3479ffb88%2F2su7ajs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Evaluating an Indefinite Integral with Substitution
#### Problem Statement
Evaluate the indefinite integral given below using the indicated substitution:
\[
\int -2(-2x + 9)^3 \, dx
\]
#### Suggested Substitution
Let:
\[
u = -2x + 9
\]
#### Solution Process
Provide your answer below:
\[
\int -2(-2x + 9)^3 \, dx = \boxed{}
\]
---
Here, you are requested to evaluate the given integral using the suggested substitution. Begin by substituting the expression for \( u \) in terms of \( x \), then proceed to integrate with respect to \( u \). Finally, substitute back in terms of \( x \) to find the solution.
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