Bryon
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Hi Everyone
I am having a trouble setting up an equation: I am to find the volume by integrating the equation y = 4-e^x from 0 to 3 and rotate it about the axis of x = 10.
Here is what I have:
the equation y= 4-e^x in terms of x is x = ln(4-y)
R(y) = 10
r(y) = ln(4-y)
the equation I have using the disk method is this:
v = 2pi integrate from 0 to 3 (10^2)-(ln(4-y))^2)dy
using the shell method I have (which I think is correct):
v = 2pi integrate from 0 to ln4 (10-x)(4-e^x)dx
I am having a trouble setting up an equation: I am to find the volume by integrating the equation y = 4-e^x from 0 to 3 and rotate it about the axis of x = 10.
Here is what I have:
the equation y= 4-e^x in terms of x is x = ln(4-y)
R(y) = 10
r(y) = ln(4-y)
the equation I have using the disk method is this:
v = 2pi integrate from 0 to 3 (10^2)-(ln(4-y))^2)dy
using the shell method I have (which I think is correct):
v = 2pi integrate from 0 to ln4 (10-x)(4-e^x)dx
