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...
Question
**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:

\[
\int_{0}^{\pi/2} \cos^8(x) \sin(x) \, dx = \boxed{}
\]
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: \[ \int_{0}^{\pi/2} \cos^8(x) \sin(x) \, dx = \boxed{} \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning