Casio FX-991ES Support Question
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Question posted by lakar01 on April 25th, 2012
Integral Functions
how to calculate using integral functions
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Related Casio FX-991ES Manual Pages
User Guide - Page 5
... are facing correctly when you load it will not get into the
calculator. • Use only the type of battery specified for later reference. Never expose the battery to direct heat or dispose of it by burning it. Keep this calculator. Doing so can result in personal injury or material damage if ignored...
User Guide - Page 12
..., functions, and parentheses. k Initializing the Calculation Mode and Other Settings
Performing the following procedure initializes the calculation mode and other setup settings as they are written.Then simply press the = key to execute it is automatically input with the open parenthesis ( ( ) character. Inputting Expressions and Values
k Inputting a Calculation Expression Using Standard...
User Guide - Page 13
... 2 × (5 + 4), etc. • Before a function with Math format, each key operation uses up one byte.
E-11
Note, however, that when you are inputting functions with parenthesis: 2 × sin(30), 2 × ... • You can omit the multiplication sign (×) in any of a calculation, immediately before the = key is pressed.
Displaying a Long Expression The display can...
User Guide - Page 14
...format from Linear to Math.
See "Incorporating a Value into a Function" for Linear format input is selected does not switch to make room when you input a...is selected. • The initial default for more information. • The calculator automatically changes to the insert mode whenever you should use the insert mode. The cursor is a horizontal flashing line ( ) when...
User Guide - Page 15
...Function Example: To correct the expression 369 × × 12 so it becomes
369 × 12 LINE Insert Mode:
369**12
dd
Y Overwrite Mode:
369**12
ddd
Y
Correcting a Calculation Example: To correct cos(60) so it becomes sin(60) LINE Insert Mode:
c60)
dddY
s Overwrite Mode:
c60)
dddd
s Inserting Input into a Calculation Always use... the insert mode for this operation. Use d...
User Guide - Page 16
... error location. Important!
• Certain types of expressions can input and display fractions and some functions using the same format as they appear in your textbook.
LINE
14/0*2=
Press e or d. Example: When you input 14 ÷ 0 × 2 = by pressing A, which clears the calculation.
Further input will become impossible if the height of the...
User Guide - Page 17
... number of bytes of the cursor on the
display when you input using Math format. Function/Symbol Improper Fraction Mixed Fraction log(a,b) (Logarithm) 10^x (Power of 10) e^x (Power of e) Square Root Cube Root Square, Cube Reciprocal Power Power Root Integral Derivative Σ Calculation Absolute Value Parentheses
Key Operation ' 1'(() & 1l($) 1i(%) ! 1!(#) w, 1w(x3) E 6 16(") 7 17...
User Guide - Page 18
... the Example 3 screen shot. The following examples show the other functions that value or fraction will be incorporated into a function.
Math
! Example 3: To input (1 + 2 )2 × 2 =
5
MATH
Math
(1+'2c5e)
w*2=
• When you press = and obtain a calculation result using Math format, you input can be used in the above procedure, and the required key operations to view...
User Guide - Page 19
...17
Original Expression:
Function Key Operation
Integral
7
Resulting Expression
Derivative
17(F)
Σ Calculation 1&(8)
You can specify whether calculation results should be displayed in a Form that includes π within irrational number display) display conditions are the same as those for the input/output format, calculation results are always displayed using decimal values...
User Guide - Page 22
... significant digits (Sci3) • For more information, see "Specifying the Number of decimal places and significant digits for the calculation result.
k Arithmetic Calculations
Use the +, -, *, and / keys to perform arithmetic, fraction, percent, and sexagesimal calculations. Number of Decimal Places and Number of Significant Digits You can specify a fixed number of Display Digits". All...
User Guide - Page 24
... is greater than 10.
• For details about to 48?
(15%, 20%)
k Degree, Minute, Second (Sexagesimal) Calculations
You can perform calculations using sexagesimal values, and convert values between sexagesimal and decimal. How about the f key, see "Using S-D Transformation". Switching between Fraction and Decimal Format f
• The format of the fraction depends on the currently...
User Guide - Page 27
... after the first one of 3 × 4 by 30
LINE
3*4=
(Continuing)/30=
Pressing / automatically inputs "Ans" command.
• With the above procedure, you execute a calculation using any one . If you press the A key, change to Perform a Series of Calculations
Example: To divide the result of the following keys: =, 1=, m, 1m(M -), t, 1t(STO). E-25 Independent Memory...
User Guide - Page 30
...} = {expression}
The expression on the right of A
5=
E-28 Current value of the equals sign (input using Ss(=)) can use CALC in the COMP Mode (N1) and in the CMPLX Mode (N2).
Using CALC
The CALC feature lets you input a calculation expression that contain variables Example: 2X + 3Y, 5B + 3i, 2AX + 3BY + C
u Multi-statements Example...
User Guide - Page 31
... value to solve an equation that contains an integral, derivative, Σ( function, Pol( function, Rec( function, or
multi-statement.
Y = X ×...using contains more than one variable,
an input prompt appears for each one.
Appendix
Calculate an +1 = an + 2n (a1 = 1) as XY + C = 0.)
• SOLVE cannot be used to a2. *6 Value of a3 *8 Value of a5
Using SOLVE
(COMP)
SOLVE uses...
User Guide - Page 34
... (π) and e.
π = 3.14159265358980 (15(π)) e = 2.71828182845904 (S5(e)) • You can be used in the COMP Mode (N1).
• Certain function calculations may take some time to display calculation results.
k Pi (π) and Natural Logarithm Base e
You can also be used in any calculation mode except for more information. They can input pi (π) or natural...
User Guide - Page 36
... precision, but it also causes the calculation to the type of function being fulfilled. • When performing an integration calculation involving trigonometric functions, specify Rad as the calculator's default angle unit. • Integration calculations can take more time. Appendix to
*1 A base of 10 (common logarithm) is used within an integration interval that is 1 × 10-14...
User Guide - Page 63
... for the X variable, other variables (A, B, C, D, Y) and independent memory (M) are all treated as the variable of a function. • The derivative (d/dx), integration (∫), coordinate conversion (Pol,
Rec), and sum (Σ) functions cannot be used for a number table generation function. • Note that the number table generation operation causes the contents of 30 x-values for Start...
User Guide - Page 64
... A key returns to take a long time. k Number Table Screen The number table screen shows x-values calculated using the
specified Start, End, and Step values, as well as the values obtained when each x-value is substituted in the function f(x). • Note that changing the input/output format settings (Math format or Linear format) on...
User Guide - Page 68
...functions.The numeric stack has 10 levels and the command stack has 24 levels, as shown in different calculation results. Fractions: ab/c
4. Permutations, combinations: nPr, nCr Complex polar form symbol: ∠
7. Dot product: • (Dot) 8. Addition and subtraction: +, - 10. Example: 1/2i= 1/(2i)=
1 ÷ 2i = 1 i
2 1 ÷ (2i) = -
1
i
2
k Stack Limitations
This calculator uses...
User Guide - Page 73
...is present. Note that checks whether calculation functions are trying to read the display.
Important!
• Removing the button battery from the calculator causes independent memory contents and values... you
are operating correctly. E-71
Reference
k Power Requirements and Battery Replacement
Your calculator uses a TWO WAY POWER system that combines a solar cell with a solar cell ...
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