# Find the Volume y=1/x , x=1 , x=2 , y=0

, , ,
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
Simplify the integrand.
Apply the product rule to .
One to any power is one.
Apply basic rules of exponents.
Move out of the denominator by raising it to the power.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
By the Power Rule, the integral of with respect to is .
Substitute and simplify.
Evaluate at and at .
Simplify.
Rewrite the expression using the negative exponent rule .
One to any power is one.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.