S sin? (x)cos(x)dx

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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The image contains a mathematical expression likely representing an integral to be solved. The expression is:

\[ \int \sin^2(x) \cos(x) \, dx \]

Next to the integral is the term "C126" written in blue, which may possibly denote a reference number or code related to the problem. There are no graphs or diagrams present in the image.
Transcribed Image Text:The image contains a mathematical expression likely representing an integral to be solved. The expression is: \[ \int \sin^2(x) \cos(x) \, dx \] Next to the integral is the term "C126" written in blue, which may possibly denote a reference number or code related to the problem. There are no graphs or diagrams present in the image.
Expert Solution
Step 1

Let the given integral be y - y = sin2(x)cos(x)dxLett = sinxdtdx = cosxdt = cosxdxSubstituting these values in given integral - y = t2dty = t2+12+1+Cy = t33+C

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