Lol, guys arguing
Most people don't know how to find a differential, let alone integrate.
But, now we've opened up nerdly things....
I've been seriously thinking of putting together a white paper about the relationship of acceleration vs. total integrated area of the power curve. Should be about 17 pages when done.
Check out SAE document #2000-01-3544, if you're a member of that organization. That's the paper I wrote on the topic. That was back in 2000. Good grief that was a long time ago.