Homework SourseFind the volume of the solid obtained by rotating about the
Find the volume of the solid obtained by rotating about the y-axis the region bounded by the x-axis, the y-axis, y=x^2 + 1 and x=4. Use the cylindrical shell method
Solution
Formula is 2f(x) dx
So we have 2 x(x^2+1) dx from x=0 to x=4
Antiderivative is
2 (x^4/4 +x^2/2) from x=0 to x=4
2 (64+8)
144
