# Find the Volume y=x , y=0 , x=2 , x=4

, , ,
To find the volume of the solid, first define the area of each slice then integrate across the range. The area of each slice is the area of a circle with radius and .
where
Remove parentheses.
By the Power Rule, the integral of with respect to is .
Combine and .
Substitute and simplify.
Evaluate at and at .
Simplify.
Raise to the power of .
Raise to the power of .
Combine the numerators over the common denominator.
Subtract from .
Combine and .
Move to the left of .
Find the Volume y=x , y=0 , x=2 , x=4