Question

Any help guys? Just show the step...thanks( see attachment)

Answer 1

Each differential disk has a volume of 2πr^2dx.

Answer 2

(From volume formula for cylinder)
r, the radius is the height above the x-axis, viz, =y.

Answer 3

got that so far

Answer 4

Then, plug all that in and integrate.

Answer 5

like?

Answer 6

You're integrating \(2πr^2dx\), \(r=y=e^{4x}+4\), so
\(V=\int_0^{0.6} 2π(e^{4x}+4)^2dx\)

Answer 7

oh ok thanks @CliffSedge !!