Recent content by mxthuy95

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...