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
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


