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philsgirl2008
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Homework Statement
Find the volume of the resulting solid if the region under the curve y=1/(x^2+3x+2) from x=0 to x=1 is rotated about the x-axis.
R=(1/(x^2+3x+2)
Equation for volume using the slicing method...
3.14 INT((1/(x^2+3X+2))^2)dx over the interval 0-1
Homework Equations
R=(1/(x^2+3x+2)
Equation for volume using the slicing method...
3.14 INT((1/(x^2+3X+2))^2)dx over the interval 0-1
The Attempt at a Solution
3.14 INT((1/(x+1)^2(x+2)^2))
A/(x+1) + B/(x+2)^2 + C/(x+2) + D/(x+1)^2 = (1/((x+1)^2)(x+2)^2))
1= A(x+1)(x+2)^2 + B(x+2)^2 + C((x+1)^2) + D(x+1)^2
Set x= -1, B=1
Set x= -2, D=1
Where do I go from here?