Question

Find (to 3 decimal places) the area of the surface generated by rotating the graph of f(x) = x^3/3 about the x-axis from x = 0 to x= 2.

Answer 1

@sleepyhead314

Answer 2

area of base times range
so
pi times integral from 0 to 2 of (x^3/3)^2 dx

Answer 3

one sec

Answer 4

0.011?

Answer 5

http://www.wolframalpha.com/input/?i=pi+times+integral+from+0+to+2+of+%28x%5E3%2F3%29%5E2+dx

Answer 6

6.382? .-.

Answer 7

if my logic is right :P

Answer 8

i don't think :(

Answer 9

maybe 6.383?

Answer 10

yeah

Answer 11

<3

Answer 12

http://www.wolframalpha.com/input/?i=2pi+times+integral+from+0+to+2+of+%28%28x%5E3%29sqrt%281%2B%283x%5E2%29%5E2%29%29+dx

Answer 13

you gave me the same link lol

Answer 14

lol xD I am not awake right now XP
http://www.wolframalpha.com/input/?i=2pi+times+integral+from+0+to+2+of+%28%28x%5E3%2F3%29sqrt%281%2B%28x%5E2%29%5E2%29%29+dx

Answer 15

this one is good <3