Physics: Maxwell
Math: Euler, Gauss
But then again, I am not particularly good at either, so how would I really know? There are so many, and each stands on the shoulders of giants who came before.
Thank you for your reply (and the integral!). I am confused by the concept of the negative integral where f(x) lies entirely above the x-axis. For example,
∫0pi sin(x) dx = 2
seems to make sense since this half of the sine wave is entirely above the x-axis and the area under the curve...
interval from a to b \int f(x) dx = interval from b to a (-)\int f(x) dx
Is this correct? Swapping the interval endpoints changes the sign of the integral? It seems like they should be equal. Thanks for the help.
By the way, I saw this property here...