Solution Found!
Finding Integrals for Surface Areaa. Set up an integral
Chapter 6, Problem 4E(choose chapter or problem)
In Exercises 1–8:
a. Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis.
b. Graph the curve to see what it looks like. If you can, graph the surface too.
c. Use your utility’s integral evaluator to find the surface’s area numerically.
\(x=\sin y,\quad\ \ \ 0\le y\le\pi\); y-axis
Equation Transcription:
Text Transcription:
x=sin y, 0 leq y leq pi
Questions & Answers
QUESTION:
In Exercises 1–8:
a. Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis.
b. Graph the curve to see what it looks like. If you can, graph the surface too.
c. Use your utility’s integral evaluator to find the surface’s area numerically.
\(x=\sin y,\quad\ \ \ 0\le y\le\pi\); y-axis
Equation Transcription:
Text Transcription:
x=sin y, 0 leq y leq pi
ANSWER:SOLUTION:
Step 1:
In this question we have to set up an integral for the area of the surface generated by revolving the given curve about the indicated axis. Also graph the curve. Use the computer’s integral evaluator to find the surface’s area numerically.