Question

∫[0,3] π(2x*e^(-x))^2 dx 

          ∫[0,3] π(2x*e^(-x))^2 dx

Added by Monica P.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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∫[0,3] π(2x*e^(-x))^2 dx
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Transcript

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00:01 Hi, there is a question, you say that i have to find the volume of the solid formed by rotating the region enclosed by x equal to zero that is y axis, x equal to one, y equal to zero is x axis, and y equal to three plus x cube and rotating about the x axis.
00:19 If we draw the figure x, y, zero, when x is zero, y is three like this, it is going to be on this zero comma three and x is one, this is x equal to one.
00:43 So this point is one comma four x axis and y axis, this is x equal to zero, this is y equal to zero.
00:55 So region is this and it has to be rotated about the x axis, okay.
01:05 So we will be forming a disk like this, when it is rotated about x axis...
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