Help with showing steps to solve 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.

Let the given integral be y - y = ∫sin2(x)cos(x)dxLett = sinxdtdx = cosxdt = cosxdxSubstituting…

Answered: 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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Help with showing steps to solve

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

$L e t t h e g i v e n i n t e g r a l b e y - y = \int \sin^{2} (x) \cos (x) d x L e t t = \sin x \frac{d t}{d x} = \cos x d t = \cos x d x S u b s t i t u t i n g t h e s e v a l u e s i n g i v e n i n t e g r a l - y = \int t^{2} d t y = [\frac{t^{(2 + 1)}}{2 + 1}] + C y = \frac{t^{3}}{3} + C$

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