Hey knag95.
It is usually a better idea for the person attempting the question to show what they have tried rather than to just be handed the answer. Can you show us what you tried?
We can simplify to write:
Now we know that if and are two functions then:
If we rearrange this we get:
Let and let:
then by integrating both sides:
Now by plugging in appropriate values to Equation(1) we get:
That's the answer. Hope it helps.
You can check the answer at: integrate (2*pi * ((x)(-10 * cos((pi/6.44) * x) +17 ))) dx from x=0 to 0.2 - Wolfram|Alpha