The Definite Integral Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Express the limits as definite integrals where is a partition of

(2) Express the limits as definite integrals where is a partition of

(3) Express the limits as definite integrals where is a partition of

(4) Suppose that and are integrable and that Find,

(5) Suppose that Find,

(6) Suppose that is integrable and that and Find   

(7) Graph the integrand and use areas to evaluate the integral

(8) Graph the integrand and use areas to evaluate the integral

(9) Graph the integrand and use areas to evaluate the integral for

(10) Graph the integrand and use areas to evaluate the integral for

(11) Evaluate the definite integral     

(12) Evaluate the definite integral

(13) Evaluate the definite integral

(14) Evaluate the definite integral

(15) Evaluate the definite integral

(16)  Evaluate the definite integral

(17)  Evaluate the definite integral

(18)  Evaluate the definite integral

(19) Graph the function and find its average value over the closed bounded interval   

(20) Graph the function and find its average value over the closed bounded interval   

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Cite this as:
The Definite Integral Homework
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/the-definite-integral-homework.html