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Problem

Use a $ CAS $ to find the exact area of the surfa…

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Problem 25 Medium Difficulty

Use a $ CAS $ to find the exact area of the surface obtained by rotating the curve about the y-axis. If your $ CAS $ has trouble evaluating the integral, express the surface area as an integral in the other variable.

$ y = x^3 $ , $ 0 \le y \le 1 $


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Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 8

Further Applications of Integration

Section 2

Area of a Surface of Revolution

Related Topics

Applications of Integration

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Watch More Solved Questions in Chapter 8

Problem 1
Problem 2
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Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
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Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
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Video Transcript

this question asked us to find the exact area of the integral by rotating the curve about the Y axis. What we know we need to do is we know we're looking at the formula to pie Axe DX. We know two pies are constant. Therefore we can pull out. We know we're looking at the integral from 01 and then we have acts times Diaz. I got nine X to the fourth because we have three x squared squared. So three squares, nine X squared is x the fourth so long as you can see now plugging this directly end tow Whatever online software using, we end up with 5.9194

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Calculus: Early Transcendentals

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