A chemist observes that the rate at which a reactant is consumed remains constant at…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A chemist observes that the rate at which a reactant is consumed remains constant at

r(t)=-0.6\text{ mg/min}

for

0\le t\le10

minutes. Is the definite integral

\displaystyle\int_{0}^{10} r(t)\,dt

positive, negative, or zero, and what does the sign of this integral indicate about the change in the amount of reactant during the interval?