Problem

Use a computer algebra system to find the exact v…

01:07

Problem 36 Hard Difficulty

Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then use your calculator to find (approximately) the volume of the solid obtained by rotating about the x-axis the region bounded by these curves.

$ y = 1 + xe^{-x^3} $ , $ y = \arctan x^2 $

Answer

6.9234

More Answers

02:09

Wen Z.

Topics

Applications of Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 2

Volumes

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Video Transcript

this problem has specified that we should graph the functions to determine the intersection. Points we get over here. Negative. 0.57 comma, 0.31 floor and then up here. We got 1.391 comma, 1.94 Okay, now that we have the diagram in the intersection points, we know we can plug into the volume formula, which we know is pi times the lower bound to the upper bound on the outer radius. Word modesty in a radius squared. Okay, Out already squared, minus and already a squared. Using a calculator. We got 6.9234

Amrita B.

Topics

Applications of Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 2

Volumes

Top Calculus 2 / BC Educators

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

Joseph L.

Boston College