Summary: Calculus Worksheet On Riemann Sums And Trapezoidal Rule - 1/15/26
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1 Calculus Worksheet on Riemann sums and trapezoidal rule - 1/15/26
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What is the left Riemann sum estimate for \(\int_0^{120} r(t) \, dt\) using six subintervals?
The left Riemann sum estimate is 150. -
What is the midpoint sum estimate for \(\int_0^{120} r(t) \, dt\) using three subintervals?
The midpoint sum estimate is 508. -
What is the trapezoidal rule estimate for \(\int_0^{120} r(t) \, dt\) using three subintervals?
The trapezoidal rule estimate is 520. -
What is the trapezoidal rule estimate for \(\int_1^7 f(x) \, dx\) with \(n=6\)?
The trapezoidal rule estimate is 24. -
What is the midpoint approximation for \(\int_1^9 f(x) \, dx\) using 4 equal subdivisions?
The midpoint approximation is 24. -
What is the trapezoidal rule estimate for the total amount of oxygen produced in 6 minutes?
The trapezoidal rule estimate is 13.7. -
How is a right Riemann sum defined?
A right Riemann sum approximates the area under a curve using the right endpoints of subintervals. -
What does a midpoint Riemann sum use for approximation?
A midpoint Riemann sum uses the midpoints of subintervals to approximate the area under a curve. -
What is the formula for a right Riemann sum?
A right Riemann sum is calculated by summing the areas of rectangles using right endpoints. -
How is the midpoint Riemann sum computed?
The midpoint Riemann sum is computed by summing the areas of rectangles using midpoints.
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