6-4-1T
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To do this problem, if we want to go around the X axis, we know
it's going to be a DX, so our bounds are going to be 2π.
We've got to figure out from Pi 5th to π force that was given
for going around our X axis.
The radius is going to be our Y or our height, and so it's going
to be tangent X square root 1 plus our DYDX.
So our dy DX.
The derivative of tangent is secant squared.
So when we square that, we get secant squared X ^2 DX.
So 2π Pi 5th to Pi 4th tangent X square root 1 plus secant to the
4th X DX.
Now we don't know how to solve that, and so at this point we're
going to grab our calculators.
That's what it says to do a numerical solve is we don't know
how to solve this, so we're going to use our calculators to
solve it.
When we plug it in we get 1.71.