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  <div id="feedBack" class="butlink thirteen" style="max-width: 876px; margin-top:5px;margin-left:auto;margin-right:auto; overflow: auto">Hint: Use "numint(<font color="steelblue">f(x),a,b</font>)" to calculate the definite integral of f(x) on [a,
    b]. Example: <font color="mediumseagreen">numint(sin(x), 0, pi)</font>
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Text Content

Cookies and local storage are necessary for the proper functioning of this
website. These gather only page settings and what is entered in utilities and
games. We do not allow any third-party cookies on the site, and we do not share
user information with any third parties.

Resources for students

 
Main Page
 
Everything for Finite Math
 
Everything for Applied Calc
 
Everything
 
Topic Summaries
 
On Line Tutorials
 
On Line Utilities
 

Instructors Apps Textbooks Online text Review exercises True false quizzes
Practice and visualize Webmaster Español

 


Main Page
Everything for Finite Math
Everything for Applied Calc
Everything
Topic Summaries
On Line Tutorials
On Line Utilities

InstructorsAppsTextbooksOnline textReview exercisesTrue false quizzesPractice
and visualizeWebmasterEspañol

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Recent updates (To report bugs or issues, or to make suggestions, click on
"Webmaster" near the top of the page): Dec 30 2023: New summary of systems of
linear equations with randomizable interactive examples. Dec 3 2023: New
two-part tutorial on functions of several variables from the numerical,
algebraic, and graphical viewpoints, with an adaptive game version Nov 23 2023:
Practice and visualize: Reading graphs of functions of two variables (once
there, click on "All modules" for more like this.) Oct 1 2023: Updated two-part
tutorial on functions and models with an adaptive game version Aug 27 2023:
Updated tutorial on permutations and combinations with an adaptive game version
July 23 2023: Updated tutorial on the addition and multiplication principles and
decision algorithms with an adaptive game version June 18 2023: Updated grapher
(accepts functions with restricted domains and shows the corresponding graph
endpoints, and has other other new features). May 7 2023: New tutorial on
logistic and logarithmic functions (includes an adaptive game version). Feb 23
2023: New tutorial on scaled and shifted functions with an adaptive game version
Jan 30 2023: Practice and visualize: Visualizing scaled functions (once there,
click on "All modules" for more like this.) Jan 30 2023: Practice and visualize:
Visualizing shifted functions (once there, click on "All modules" for more like
this.) Jan 17 2023: New tutorial on trigonometric functions and models with an
adaptive game version Aug 29 2022: Updated tutorial on related rates with an
adaptive game version Aug 18 2022: Updated tutorial on solving polynomial
equations (parts A and B). May 26 2022: Updated tutorial on the simplex method
for standard maximization problems (now has two parts with an adaptive game
version). March 25 2022: Updated tutorial on multiplying and factoring algebraic
equations (Parts A, B, C) (includes an adaptive game version). March 25 2022:
Updated tutorial on multiplying and factoring algebraic equations (Parts A, B,
C) (includes an adaptive game version). March 7 2022: Updated tutorial on
analyzing graphs (includes an adaptive game version). Jan 13 2022: Updated
tutorial on derivatives of logs and exponentials (includes an adaptive game
version). July 10 2021: Updated tutorial on maxima and minima (includes an
adaptive game version). February 27 2021: Updated tutorial on exponential
functions (includes an adaptive game version). February 27 2021: New tutorial on
the number e and exponential growth and decay (includes an adaptive game
version). January 2 2021: Updated tutorial on multiplying and factoring
algebraic equations (Part A) (includes an adaptive game version). July 20 2020:
New tutorial on Bernoulli trials and binomial random variables (includes an
adaptive game version). July 5 2020: New tutorial on logarithms (includes an
adaptive game version). June 1 2020: New tutorial on positive exponent, power,
and simplest radical form (includes an adaptive game version). April 6 2020: New
tutorial on the chain rule using Liebniz notation (includes an adaptive game
version). October 29 2019: New tutorial on the chain rule (includes an adaptive
game version). October 6 2019: New tutorial on radicals and rational exponents
(includes an adaptive game version). September 26 2019: New tutorial on the
cardinality of sets (includes an adaptive game version). September 11 2019: New
tutorial on the product and quotient rule (includes an adaptive game version).
June 30 2019: New tutorial on integer exponents (includes an adaptive game
version). Februrary 23 2019: New tutorial on derivatives of powers, sums, and
constant multiples (includes an adaptive game version). Februrary 11 2019: New
tutorial on real numbers and operations (includes an adaptive game version).
January 8 2019: New tutorial on sets and set operations (includes an adaptive
game version and a Spanish version). October 25 2018: New summary of techniques
of differentiation with randomizable interactive examples. August 16 2018:
Updated version of the tutorial on calculating the derivative algebraically
(includes an adaptive game version and a Spanish version). April 29 2018: New
summary of average rates of change and introduction to the derivative with
randomizable interactive examples. March 11 2018: Updated version of the
tutorial on functions from the numerical, algebraic, and graphical viewpoints
(includes an adaptive game version and a Spanish version). December 9 2017:
Updated version of the tutorial on random variables and distributions (includes
a game version and a Spanish version). Nov 30 2017: Implicit curve plotting
added to the function evaluator and grapher October 31 2017: New interactive and
randomizable review exercises on mathematics of finance October 28 2017: New
version of the Pivot and Gauss-Jordan tool October 12 2017: New version of the
simplex method tool (includes integer programming) October 8 2017: New version
of the surface graphing utility, includes explicit, implicit, and parametric
surfaces September 19 2017: New summaries of limits and continuous functions
with randomizable interactive examples. September 11 2017: New tutorial on
solving miscellaneous equations. September 8 2017: Updated version of the
tutorial on quadratic functions and models (includes a game version and a
Spanish version). June 18 2017: New interactive and randomizable review
exercises on linear programming May 24 2017: Parametric plotting added to the
function evaluator and grapher March 16 2017: New version of function evaluator
and grapher March 7 2017: New tutorial on areas between curves (includes a game
version and a Spanish version). Feb 24 2017: New version of the algebra review
tutorial on solving polynomial equations (includes an adaptive game version and
a Spanish version). January 27 2017: Updated version of the tutorial on matrix
inverses (includes an adaptive game version and a Spanish version). October 22
2016: Updated version of the tutorial on graphical solution of linear
programming problems (includes an adaptive game version and a Spanish version).
October 21 2016: New summary of math of finance with randomizable interactive
examples. August 14 2016: New tutorial on graphing linear inequalities (includes
a game version and a Spanish version). July 31 2016: New version of the algebra
review tutorial on rational expressions added (includes an adaptive game version
and a Spanish version). July 6 2016: New summary of nonlinear functions and
models with randomizable interactive examples. April 21 2016: New version of
tutorial on related rates (includes a game version and a Spanish version). April
15 2016: New summary of functions and applications with randomizable interactive
examples. March 9 2016: New interactive and randomizable review exercises on
functions and applications



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Hint: Use "numint(f(x),a,b)" to calculate the definite integral of f(x) on [a,
b]. Example: numint(sin(x), 0, pi)

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Last updated: Dec 2023
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