Suppose {{MATH_251}} is the velocity function (in meters/second) of an object traveling along a straight line during the interval {{MATH_252}} (in seconds). Calculate: {{MATH_253}} {{CMD_254}} We begin by finding an antiderivative of {{MATH_255}}. {{ENV_256}} We were not given an initial condition that would have allowed us to calculate the value of {{MATH_257}}, so we will leave it as it is. Plugging in {{MATH_258}} and {{MATH_259}} and subtracting gives: {{ENV_260}} Thus {{MATH_261}} Notice that the actual value of {{MATH_262}} did not matter. The {{MATH_263}} term in {{MATH_264}} was cancelled by the {{MATH_265}} term in {{MATH_266}} after the subtraction? {{CMD_267}} {{CMD_268}}