Fundamental Theorem Of Calculus Application Error
The velocity of a falling object is modeled by m/s for seconds. To find the object’s displacement over this interval, a student attempts to compute the definite integral of . The student finds an antiderivative of but reports only the value of the antiderivative at , failing to subtract the value of the antiderivative at . What is the primary error in the student’s calculation?
They mistakenly computed the average velocity instead of computing the definite integral over the interval.
They performed integration on the wrong function by confusing velocity and acceleration.
They used the wrong antiderivative by incorrectly applying the power rule.
They omitted evaluating the antiderivative at the lower limit and subtracting it from the evaluation at the upper limit, thus failing to apply the Fundamental Theorem of Calculus properly.
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