Define

R

as the region bounded by the graphs of the function

f(x)=(\\\\sqrt(x))/(2)

, the

x

-axis,

x=0

, and

x=1

. Write the\ definite integral that describes the volume of the solid created by rotating

R

around the

x

-axis.Define

Q

as the region bounded by the functions

u(y)=(y^(2))/(4)+1

and

v(y)=1

between

y=0

and

y=2

. If

Q

is rotated\ around the

y

-axis, what is the volume of the resulting solid?

Define Q as the region bounded by the functions u(y)=4y2+1 and v(y)=1 between y=0 and y=2. If Q is rotated around the y-axis, what is the volume of the resulting solid