AP CALCULUS STUDENT HANDOUT Check your understanding 1. Show how x(4) + [v(t)dt is mathematically equivalent to x(2) . 2. What are three different ways a definite integral with an integrand of velocity can be used? Three different ways a definite integral with an integrand of velocity can be used are 3. What are three different but mathematically equivalent expressions that will find average velocity over a time interval from t = a to t = b