Riemann Sum Approximation Error
A student approximates the area under the curve of on the interval [0,3] using Riemann sums. The student chose only 3 large subintervals and obtained an area that is significantly different from the true value. What mistake did the student make in the experimental process?
A
Incorrectly applying the Fundamental Theorem of Calculus by missing a constant of integration.
B
Using the midpoint Riemann sum instead of the trapezoidal rule, leading to less precision in the area calculation.
C
Failing to square the terms correctly during integration, resulting in an erroneous area.
D
Choosing an inadequate number of subintervals for the Riemann sum, which resulted in a significant approximation error.
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