Suppose a quantity changes in time at a rate given by Q' (t) then ∫ from a to b of Q' (t) dt is :

Question

Suppose a quantity changes in time at a rate given by Q' (t) then ∫ from a to b of Q' (t) dt is :

a) the net change in Q between t= a and t = b

b) the average rate of change of Q between t=a and t=b

c) the value of Q at time t=b

Answer 1

∫_{(from a to b)} Q'(t)dt = Q(b) - Q(a) = change in Q(t) from t = a to t = b.