00:01
In this question, we want to find the surface area generated by this curve over the x -axis with its limits here.
00:08
So surface area in general, generated over the x -assiz, would be from lower limit a to upper limit b, 2 pi -y, times square root of 1 plus d -y over d -x square d -x.
00:31
So let's put in the lower limit of 0, upper limit of 3, 2 -py.
00:37
Now the y is x -qued.
00:42
D -y -d -x.
00:43
When y is x -cube, d -y -d -x would be bring down the power 3, freeze -the -x and subtract 1 to the power.
00:52
So it's 3x square.
00:58
2 -py is a constant, so it can be brought up.
01:01
Set the integral sign.
01:05
Now square root can be written as power half.
01:10
3x square when we square it will become 9x to power 4.
01:19
Now i want to fit this into the form of f prime x times fx to the power n.
01:27
If i can fit into this form, i can use the result, which is f x to the power of and plus 1 over the new power plus c.
01:39
So i'm going to let this portion here be fx...