Let for and define

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let f(x)=(x−2)(x−5)f(x)=(x-2)(x-5) for 0≤x≤70\le x\le7 and define A(t)=∫0tf(x) dxA(t)=\displaystyle\int_{0}^{t}f(x)\,dx. At what value of tt in the interval 0<t<70<t<7 does A(t)A(t) attain its minimum?

Related theory

Browse the problem library