Use a finite sum to estimate the average value of f on the given interval by partitioning the interval into four subintervals of equal length and evaluating f at the subinterval midpoints. f(x)= 2/x on [1,17]
Added by Christopher C.
Step 1
The length of the entire interval is 17 - 1 = 16. So, each subinterval has length 16/4 = 4. The midpoints of the subintervals are then 1 + 2 = 3, 5, 9, and 13. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Shaiju T and 91 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use a finite sum to estimate the average value of $f$ on the given interval by partitioning the interval into four subintervals of equal length and evaluating $f$ at the subinterval midpoints. $$f(x)=1 / x \text { on }[1,9]$$
Integrals
Area and Estimating with Finite Sums
Use a finite sum to estimate the average value of $f$ on the given interval by partitioning the interval into four subintervals of equal length and evaluating $f$ at the subinterval midpoints. $$f(x)=x^{3} \text { on }[0,2]$$
In Exercises 15-18, use a finite sum to estimate the average value of $f$ on the given interval by partitioning the interval into four subintervals of equal length and evaluating $f$ at the subinterval midpoints. $$ f(x)=1 / x \text { on }[1,9] $$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD