Question

Calculus help?

Answer 1

@robtobey

Answer 2

@jdoe0001

Answer 3

@across

Answer 4

It's jut a matter of integrating\[\pi\int_0^5\frac{dx}{1+x}.\]

Answer 5

So pi(In)(6)? @across

Answer 6

@mathmale

Answer 7

If you don't mind I'd prefer to focus on how we evaluate the actual integral, rather than on what the answer might be. You OK with that?

Answer 8

Sure

Answer 9

Great. Now, which method of finding the volume of rotation would be appropriate here: disks, shells, washers?

Have you tried sketching (1+x)^(1/2)? If not, it might be helpful to do so.

Answer 10

I did mostly everything on the calculator... yikes

Answer 11

I was trying this on the calculator myself as you were typing your response.
But we both have to be able to do this kind of problem manually.
Have you an idea of what the given function looks like when graphed from x=0 to x=5?

Answer 12

Next question: would you use washers? shells? disks? Why?

Answer 13

To be honest I have no idea.

Answer 14

Have you used the method of shells before?

Answer 15

No, I've only heard of washers

Answer 16

Does this solid seem to have a hole thru its center, or not?