Question

A definite integral of f(x)dx on the interval a to b probably SHOULDN'T be used:
A. (loosely speaking) to calculate "size in four-dimensional space-time" (defined by an object's volume multiplied by its duration, by setting f(x)=V(x), a volume function and letting x represent time x=a to x=b.
B. to calculate power (defined to be work divided by time) by setting f(x)=W(x), a work function, and letting x represent time x=a to x=b.
C. (loosely speaking) to accumulate infinitely many quantities f(x)dx'' where f(x) represents some physical quantity that is a function of x and dx represents...

Answer 1

infintesimal changes in x.
D. To calculate net change from x=a to x=b in a quantity whose rate of change with respect to x is given by f(x).

Answer 2

Help me choose please.

Answer 3

I really haven't learned about 4 dimensional shapes or power yet so this question seems unfair and confusing.

Answer 4

What do you think?

Answer 5

Nevermind. Got it wrong anyway. It's the power one, apparently. Not that I ever know why.

Answer 6

In retrospect (after knowing the answer) it is
B. to calculate power (defined to be work divided by time) by setting f(x)=W(x), a work function, and letting x represent time x=a to x=b.

power by their definition is W(x)/time (divided by time) but the integral will be W(x)*t (multiplying by time)

Answer 7

Thank you.