If you know the rate of change of a function, and you want to find the total change of the function from x = a to X = b, you would find the under the rate of change function from x = a to x = b. For example, if v(t) represents the velocity of an object from t = 0 to t = 6, sketch y = v(t) and find the total distance travelled by the object if: v(t)=4 v(t)= gt v(t)= t+6 E E E Distance = Distance = Distance = The definition of the Definite Integral is J: f(x)dx = lim OOZf(xi)Ax Interpreting this definition geometrically: - Ax represents ' f(xi) represents - f(xi)Ax represents ' :11 f (xi)Ax represents - Why do we take the limit of the expression? A