Volume of the Lake

[Lime]

How do you go from

1,000,000pi 0~-60 (2 + y/30) dy

to this

1,000,000pi [2y + (y^2)/60]

The ~ means that antiderivative symbol.

 

[stapel]

You anti-differentiate the two terms, and then evaluate at 60 and at 0. Since the terms at 0 vanish, you're left with just the others.

Eliz.