Use the Change of Variables Formula to evaluate the definite integral. cos* (x) sin(x) dx (Use symbolic notation and fractions where needed.) a/2 cos (x) sin(x) dx = %3D
Use the Change of Variables Formula to evaluate the definite integral. cos* (x) sin(x) dx (Use symbolic notation and fractions where needed.) a/2 cos (x) sin(x) dx = %3D
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Using the Change of Variables Formula to Evaluate the Definite Integral**
Evaluate the following integral using the Change of Variables Formula:
\[
\int_{0}^{\pi/2} \cos^8(x) \sin(x) \, dx
\]
**Note:** Use symbolic notation and fractions where needed.
Provide the solution in the following form:
\[
\int_{0}^{\pi/2} \cos^8(x) \sin(x) \, dx = \boxed{}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4da9f9b-1815-46d2-879e-c59f6a700035%2F69f23a55-045c-4aaa-8780-9d18b33e0a51%2Fe7pvq6e_processed.png&w=3840&q=75)
Transcribed Image Text:**Using the Change of Variables Formula to Evaluate the Definite Integral**
Evaluate the following integral using the Change of Variables Formula:
\[
\int_{0}^{\pi/2} \cos^8(x) \sin(x) \, dx
\]
**Note:** Use symbolic notation and fractions where needed.
Provide the solution in the following form:
\[
\int_{0}^{\pi/2} \cos^8(x) \sin(x) \, dx = \boxed{}
\]
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