MegaIntegral Calculus
Calculators
Can Solve Integrals
with Up To 200 Terms
By David
Alderoty,
February, 2010 Email RunDavid@Verizon.net
This website has
several MegaIntegral
Calculus Calculators Online, and also in the Excel and OpenOffice.org
formats. The calculators are
provided for free and they are NOT trials with a time limit.
For a 10 Term Online MegaIntegral Calculus Calculator scroll down. If you want a 25, 50, 100, or 200 term (200 term not available online) MegaIntegral Calculus Calculator, in the Online, Excel, or OpenOffice formats, or instructions and additional information, scroll all the way down, beneath the 10 Term Calculator.
Online MegaIntegral
Calculus Calculators
(Note, all of the following online calculators are printer
friendly.)
If you want a 25 Term Online MegaIntegral
Calculus Calculator, left click on these words.
If you want a 50 Term Online MegaIntegral
Calculus Calculator, left click on these
words.
The
MegaIntegral Calculus Calculators
In The Excel And
OpenOffice.Org Formats.
Utility
of the Excel and OpenOffice.org formats
The
MegaIntegral Calculus Calculators in the Excel and OpenOffice.org formats are
generally more useful than the online versions. This is because you can open a
limitless number of calculation documents, and save your calculations,* which
you cannot do with the online versions.
*Note:
To save your calculated results, you must use a different filename for each
calculating document. In addition,
you must use the save function in Excel or OpenOffice,
before closing your document. This
can be done with the function in the file menu, or by pressing the s key while
holding down the Ctrl key.
Software
Requirements
The
calculators in the Excel format require Microsoft Excel, and Windows. The calculators that are in Excel
2007 format require Excel 2007, or the free Microsoft Compatibility
Pack for earlier versions of Excel.
The
calculators in the OpenOffice.org format require Windows and the free
OpenOffice.org software package.
To obtain the free OpenOffice.Org software
package left click on these words, or go to: www.OpenOffice.org
Download
Links for the MegaIntegral Calculus Calculators
In
The Excel and OpenOffice
Formats
Instructions and
General Information for the
MegaIntegral Calculus
Calculators
Integrals That Can Be Solved With
The MegaIntegral Calculus Calculator
The
MegaIntegral Calculus
Calculators can solve integrals that are in the following form, or integrals
that can be converted to this form:
The
above example only has five terms, but the smallest MegaIntegral Calculus Calculator
can solve integrals with 1 to 10 terms.
The largest MegaIntegral Calculator, is in the
Excel format only, and it can solve integrals ranging in size from 1 to 200
terms.
MegaIntegral Calculus Calculators
Layout and Design
MegaIntegral Calculus Calculators
are constructed of a series of one-term integral calculators, lined up from the
top of the page to the bottom. For
example, the 200 term MegaIntegral Calculus Calculator is constructed of 200
single term integral calculators.
The results from each single term integral calculator are added together
to determine the total values of A and B for the following:
Then, the total value B is
subtracted from the total value A, such as: A – B to obtain the final calculated
result.
Each
one-term integral calculator has two boxes to display the calculated
results. Normally these results can
be ignored, but they can be useful if you want to check a MegaIntegral Calculus
Calculator for accuracy.
Critical
Calculations
The MegaIntegral Calculus
Calculators were primarily designed for general use, study, homework, and
demonstration purposes. However,
they were NOT designed for critical calculations, where a mathematical error can
lead to the loss of life, injury, property damage, or the loss of large sums of
money, such as with major engineering projects, and nuclear power plants. If they are used for such purposes, the
calculations must be checked by at least one or two other calculation
devices. The other calculation
devices should be run on different operating systems, such as Macintosh or
Linux, and with computer processes made by different manufacturers, such as
Intel and AMD. The data should be
entered by different individuals.
This is because, in rare cases, malfunctions in software and/or hardware
can result in mathematical errors, but the biggest and most important risk
factor is data entry errors.
Calculation
devices can be constructed for critical calculations, to prevent data entry
errors, and to detect malfunctions in software or hardware, but I did not
provide these features in the MegaIntegral Calculus Calculators. (If you need calculation devices with
such features, I can create them to meet your needs. You can contact me at
RunDavid@verizon.net, or see the last section of this webpage.) However, even software designed with
these special features, should be checked with another software package, on a
different operating system, for truly critical calculations.
General
Instructions
(Note the instructions are also
printed on each Calculator.)
It is easy to use the MegaIntegral Calculus Calculators, assuming
you have a basic knowledge of calculus.
The instructions are approximately the same for all of the
MegaIntegral Calculus Calculators, as follows:
Step-1) To use a MegaIntegral Calculus Calculator, enter the
numbers that correspond to your integral in the two long green boxes, on the top
of the Calculator.
Step-2) Then scroll down, until you see a series of large boxes with
red borders, and yellow text. These boxes are numbered, with the word Term, such
as Term 1, Term 2, Term 3, etc. Each of these boxes has two long green input
boxes, one for entering the exponent and the other for the coefficient.
Step-3) Enter
the exponent and coefficient of the first term of your integral in the first box
with the label Term 1. For example, with 6X2 the
exponent is 2, and the coefficient is 6.
Then scroll down to the second box with the label Term 2, and enter the
exponent and coefficient of the second term of your integral. Then scroll down, and enter the
remaining exponents and coefficients of the terms of your integral, in the
corresponding boxes. Of course, you
do not have to fill all the boxes.
For example, if your integral has only one term, you will only use the
first box.
Note, if any of the terms in your
integral have only a number, with NO VARIABLE, such as 4, 100, or 12.786, enter
a 0 (zero) for the exponent and for the coefficient enter the value of the
number. For example, if the number is 12.786 the exponent is 0 and the
coefficient is 12.786. However, if any of the terms in your integral HAVE a
VARIABLE with NO designation for an exponent, such as -3X enter a 1 (one) for
the exponent. With this example the coefficient is -3.
Step-4)
To obtain calculated results left click with the mouse
on the background. You can also obtain calculated results with the online
version by left clicking on the Calculation Button, and with the spreadsheet
versions by pressing the enter key.
However, with the 100 Term Online
MegaIntegral
Calculus Calculator, you can only obtain calculated
results by left clicking on the Calculation Button.
Note, all of the calculated results are displayed in red
numbers.
Number Crunching
Ability Of The
MegaIntegral Calculus
Calculators
The MegaIntegral
Calculus Calculators in all three formats, online,
Excel, and OpenOffice, can calculate extraordinarily
large or extremely small numbers, with over 300 digits. Numbers that have many digits are
displayed in scientific notation.
The letter E is used to designate scientific notation. The online version uses a lowercase
e, and the Excel and OpenOffice versions use an
uppercase E. This format is
illustrated in the following examples.
Examples of the Display of Very
Large Numbers
By the MegaIntegral Calculus
Calculators
1000000000000000000000 is displayed as 1e+21.
The 21, with a plus sign, (+) represents the number of decimal places
after the first digit. This can be clarified by counting the 21 red highlighted
digits in the following: 1000000000000000000000
1456789666666890000000 is displayed as 1.45678966666689e+21. The 21 represents the
number of decimal places after the first digit. This can be seen by counting the
digits highlighted in red as follows: 1456789666666890000000
Examples of How Very Small
Numbers
Are Displayed by the MegaIntegral
Calculus Calculators
0.000000000000000000001 is
displayed as 1e-21. With this example, 21 with the minus sign represent the
number of decimal places after the decimal point, as indicated by the 21 digits
highlighted in red as follows: 0.000000000000000000001
The number
0.0000000000000000000067987 is displayed as 6.7987e-21. Note the 21 with the
minus sign (-) represent the number of decimal places after the decimal point.
This becomes clear by counting the digits highlighted in red as follows: 0.0000000000000000000067987
Astronomically Large Numbers, and
The
MegaIntegral Calculus
Calculators
When large numbers, with
approximately 306 digits or greater are calculated you will usually get an error
message, such as
Infinitesimally Small Numbers and
the
MegaIntegral Calculus
Calculators
When calculated results are
infinitesimally small, (such as 1e-350) the calculator will round the number
down to 0 (zero).
Entering Very Large and Very Small
Numbers,
Into the Green Input
Boxes,
Of the MegaIntegral Calculus
Calculators
The green input boxes can hold
numbers with over 300 digits.
However, if you enter more than 15 digits, you may not be able to see the
entire number, but this will not affect the accuracy of calculated results. If you enter more than 21 digits the
calculator will usually convert the number to scientific notation, which will
make the entire number visible.
Note,
when calculating very large and very small numbers, with the online versions of
the calculator, you should press the button marked Delete Everything
after completing each calculation. If this is not done the calculator might get
jammed up, which can be solved by left clicking on the Delete Everything
button.
When There Is No Calculated
Result
There are certain number
combinations that will produce no calculated result, whether the mathematics is
done manually or with a MegaIntegral Calculus Calculator. When an exponent is NOT a positive or
negative integer (including zero) the values in the input boxes, with the
designation A and B, must be positive to obtain a calculated result. (See the input boxes with the A and B
designation on the Calculator
to clarify the above.) For
example, if you enter an exponent of= +1.01, A= -2, B=+1, and any coefficient,
the calculator will display an error message. If you perform such calculations by
hand, it becomes obvious why there are no calculated results, based on real
numbers.
However, if you enter an exponent
of +1.01, A= +2, B=+1 and any coefficient, you will get a calculated
result. You will even get a
calculated result with a negative exponent, such as
-1.01, A= +2, and B=+1.
My Name is David
Alderoty, and
I Designed and Built
this Website and the
MegaIntegral Calculus
Calculators
I can design and build
user-friendly software based calculation devices for arithmetic, accounting,
algebra, trigonometry, correlations, calculus, etc.
I can create attractive
calculation devices for your website. I can also create communication forms with
submit buttons, for websites. This
can include forms with built-in calculation devices.
I generally make these devices in
the Microsoft Excel, OpenOffice.org, and the JavaScript formats, but I can work
with other spreadsheet formats besides the above.
I write instructions for the
devices I build. I can also write
instructions for software and computer devices created by others. In addition, I can write advertising for
your products or services.
For a detailed list of all the
services I offer, see www.TechForText.com For a list of
all my websites see www.David100.com
If you need my services, you can
call me at (212) 581-3740, or e-mail me RunDavid@Verizon.net. You
can also send your message in a website communication form, by left clicking on
these Words. For
conventional mail My address is
If you are a great distance from
my locality, or are in a foreign country, this is not important. I can provide these services worldwide,
because the software and websites I make can be delivered through the Internet
to any locality, providing there are no government
restrictions.
I can provide the services
mentioned above on a fee-for-service basis, or possibly based on permanent or
temporary employment. My resume is
online at: www.David100.com/R