Question

Find the volume generated by revolving the region bounded by y=x^2 and y=4x-x^2 about the line x=4

Answer 1

r u from chicago?

Answer 2

no,, ny

Answer 3

okay you are taking calculus

Answer 4

calculus 1?

Answer 5

cal 2

Answer 6

Split it into two integrals.
\[\int\limits_{0}^{2}((4x-x^2)-(x^2))dx+\int\limits_{2}^{4}((x^2)-(4x-x^2))dx\]
Evaluate.

Answer 7

why did u split it?

Answer 8

Draw the functions. When you take the integral between the two functions, you subtract the bottom function from the top function. (top-bottom). It switches which function is on top at x=2.

Answer 9

ok.. what about the line x=4

Answer 10

ohh. i see what u did