Hi
Is this the right set up for the shell method
radius = x and height = lnx- (x-3)^2 so i get
A= 2(pi)x((x)(lnx-(x-3)^2) = 2(pi)(xlnx - (x)(x-3)^2 )so volume =
4.170
2(pi) ∫ (xlnx - (x)(x-3)^2
2.127
Thanks
Homework Statement
Consider the region bounded by the curves y= lnx and y=( x-3)^2
Find the volume of the solid obtained by rotating the region about the y-axis
Homework Equations
The Attempt at a Solution
For this I solve for the x so i got x= e^y and x= (y)^(1/2) +3...
Homework Statement
Determine and evaluate a definite integral for which (1/40( (0)^3 + 2(.05)^3 +2(.1)^3 +... 2(1.95)^3 + (2)^3 )) is a trapezoidal approximation. Which is greater, the integral or trapezoidal approximation whyHomework EquationsThe Attempt at a Solution
So i figure that the...