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 right Riemann sum estimate for \(\int_0^{120} r(t) \, dt\) using six subintervals?

    The right Riemann sum estimate is 532.
  • 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 left Riemann sum estimate for \(\int_0^{100} g(t) \, dt\) using four subintervals?

    The left Riemann sum estimate is 7100.
  • What is the right Riemann sum estimate for \(\int_0^{100} g(t) \, dt\) using four subintervals?

    The right Riemann sum estimate is 7400.
  • What is the trapezoidal rule estimate for \(\int_0^{100} g(t) \, dt\) using four subintervals?

    The trapezoidal rule estimate is 7250.
  • What is the trapezoidal rule estimate for \(\int_1^7 f(x) \, dx\) with \(n=3\)?

    The trapezoidal rule estimate is 24.
  • 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.
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