Direction: Give what is asked. 3. Evaluate the Riemann Sum for f(x) = x² – 6x by taking the sample points to be the right endpoints from a=0 to b=3 and n=6. Compute the right hand approximation of the area above the given curve bounded by the x-axis and the lines x=0 and x=3 using six rectangles. 4. Compute the midpoint approximation of the area under the curve f(x) = x³ +3 bounded by the x-axis and the lines x=-2 and x=2 using five rectangles.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.3: Area And The Definite Integral
Problem 13E: In Exercise 5-14, approximate the area under the graph of f(x) and above the x-axisusing the...
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Direction: Give what is asked.
3. Evaluate the Riemann Sum for f(x) = x² – 6x by taking the sample points to be the
right endpoints from a=0 to b=3 and n=6. Compute the right hand approximation of the
area above the given curve bounded by the x-axis and the lines x=0 and x=3 using six
rectangles.
4. Compute the midpoint approximation of the area under the curve f(x) = x³ + 3
bounded by the x-axis and the lines x=-2 and x=2 using five rectangles.
Transcribed Image Text:Direction: Give what is asked. 3. Evaluate the Riemann Sum for f(x) = x² – 6x by taking the sample points to be the right endpoints from a=0 to b=3 and n=6. Compute the right hand approximation of the area above the given curve bounded by the x-axis and the lines x=0 and x=3 using six rectangles. 4. Compute the midpoint approximation of the area under the curve f(x) = x³ + 3 bounded by the x-axis and the lines x=-2 and x=2 using five rectangles.
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