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(Solved): 2 Submission Problems Just when you thought we had left volume of revolution behind, it turns out th ...
2 Submission Problems Just when you thought we had left volume of revolution behind, it turns out that integration by parts can be used to solve volume problems! Let
Rbe the region between
y=xarctanxand the
x-axis on the interval
0<=x<=1. We want to find the volume of the solid obtained by revolving
Rabout the
y-axis. (a) Sketch the region
R. You may use a graphing calculator or graphing web site like desmos to see what the curve
y=xarctanxlooks like. (b) Explain why you are not going to be able to use the disk/washer method to find the volume described above. (Hint: What variable would you need to use? Try to rewrite the curve in terms of that variable.) (c) Now find the volume of the solid.
