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AP Calc WB5.1 - Riemann Sums

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Last updated over 5 years ago
4 questions
1
Question 1
1.

Find the left and trapezoidal Riemann sum approximation of the following table using 4 sub-intervals.

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Question 2
2.

Use Riemann Sums to approximate the area under the curve of f(x)=3x+5 over the interval (0,4) using trapezoidal and midpoint Riemann sums with 4 sub-intervals.

Question 3
3.

Using trapezoidal and right Riemann sums, approximate f(x)=2x^2-1 over the interval (-1,4) using 5 sub-intervals.

Question 4
4.

Write into Riemann sum notation for f(x)=x^3 on the interval [0,6] for 6 sub-intervals based on right rectangle approximation