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Mathematics how to solve integration of exp^x square with lower limit=0 and upper limit=infinity

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  • Ronald Tisdale
    Ronald Tisdale May 11, 2010

    prove that the integral of exp(-x^2) from zero to infinity = square root of pi??

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Drag the red point. at link below
http://www.ies.co.jp/math/java/calc/int_e/int_e.html

The following program computes exp(x) for an input x using the
! infinite series of exp(x). This program adds the
! terms together until a term is less than a specified
! tolerance value. Thus, two values are required:
! the value for x and a tolerance value. In this program,
! he tolerance value is set to 0.00001 using PARAMETER.
http://www.cs.mtu.edu/~shene/COURSES/cs201/NOTES/chap04/exp.html

Posted on May 06, 2008

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Well..first thing I'd do, is pour a tall cold one, and ponder the importance of this equation..then I'd navigate my belly button with my fingers, and in that process, enlightenment would arise, with the proper Fixya Solution set, no?

Posted on May 05, 2008

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Posted on Jan 02, 2017

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1 Answer

Infinity


The calculator does not have a CAS, no need to bother about infinity. If you have to do some integral, it a must be a definite one, ie with fixed lower and upper bound.

Apr 16, 2014 | Casio FX-270W Calculator

1 Answer

Integrate equations, using 0 and .123 as limits


Set Input/output to MathIO.
Press the Integrate key, to the right of CALC.
The image of integral appears with a rectangle for the function, and two small squares (one for the upper limit the other for the lower limit).

2d47a2ff-50cd-4858-8ecb-0816632bcce3.png

Type in the integrand (the expression you want to integrate) in the bigger (on your display) rectangle. Use appropriate parenthesis. To type in X press [ALPHA] )
Use the down arrow to move cursor to the square for the lower limit. Type in the lower limit. Use the Up arrow to move cursor to the upper limit square. enter the upper limit. Press [=] key. If you did not make mistakes, and your expression is not too complicated you should get your integral.

5c153709-633c-4f0b-ada7-8393326bbe63.png

Note: The screen captures are not from a Casio FX991ES. But that should not matter to you.

Feb 10, 2014 | Casio FX991ES Scientific Calculator

1 Answer

How to solve definite integrals between two limits


To calculate the definite integral (integral with specified lower and upper bounds)
  1. In Run/Math screen press OPTN
  2. Press F4:CALC
  3. Press F4:$ (integral)
  4. After the $( type in the function of X, enter comma, enter the lower bound, comma, upper bound, right parenthesis to close.
  5. Press =

Another way is to graph the function. While graph is displayed press SHIFT: F5:G-Solve, then F6>, Then F3:$(
Use arrow key to select the lower bound, then select select the upper bound. Press = to get result. The area concerned will appear shaded.
Note: There is a drawback to this method. The lower and upper limits must be inside the graph window limits.

Apr 30, 2012 | Casio FX-9860G Graphic Calculator

1 Answer

How can i solve integrals with ALGEBRA FX 2.0 PLUS


The syntax for the evaluation of definite integrals (integrals with boundary limits) is as shown on the screen capture below.

$ (function , variable , lower bound, upper bound)
By default the name of the dummy variable is x. If you use another name, the variable must appear as an argument of the function, and as variable.

3_14_2012_11_39_12_pm.png

Mar 13, 2012 | Casio Algebra FX 2.0 Calculator

1 Answer

How to calculate a finite integral


Press 2ND MATH to bring up the Math menu. Select "Calculus" and then "integrate." Enter the expression, the variable of integration, the lower limit, and the upper limit, separated by commas. Close the final paren and press ENTER or diamond ENTER.

For example, to calculate the integral from 0 to pi of sin(x) dx, you want

INT(sin(x),x,0,pi)

where INT is the integral sign and pi is the lower-case Greek pi.

Sep 22, 2010 | Texas Instruments TI-89 Calculator

1 Answer

Integral of sinx how to calculte in casio fx991 es


Hello,
Configure the calculator to be in MathIO : [SHIFT][MODE][1:MathIO].
Press the Integral key, the one judt beloe the [ALPHA] key.
The template of the integral appears, with the cursor in larger rectangle. Enter the function the screen displays the integral, a small upper sqaure, and a small lower square. The left parenthesis of the function is already supplied by the calculator.
Press [ALPHA] X to enter the argument of the function.
Press the right parenthesis.
Remain the limits.
Use left arrow to move the cursor just before the s of sin and press down arrow to enter a numerical value for the lower limit.
Press the up arrow to move cursor in upper square.
Key in the numerical value of the upper limit.
Press [=].

Warning. To have meaningful result, make sure the angle unit used is conform to the problem you are trying to solve.

Hope it helps.

Nov 01, 2009 | Casio FX-300MS Calculator

1 Answer

How do i use the solve( function


Hello,
The solve( is available through the CATALOG : [2nd][CATALOG], scroll down till you reach the command. Highlight it and press [ENTER]. The command echodes on main screen as solve( .
You complete the command by entering the expression (not the equation), the name of the variable you solve for, the initial guess , and { lower limit, upper limit} between curly brackets, and the closing parenthesis.
Exemple:
solve ( Q^3-100, Q,0 {-50,50} ) [ENTER]
It is implied that the expression is 0 (Q^3-100 =0), so you should not insert =0, otherwise you get an error. Here the lower limit is -50. You must use the change sign symbol (-) under the 3 key, not the regular MINUS.
Hope it helps.

fd5a292.jpg


Oct 14, 2009 | Texas Instruments TI-83 Plus Calculator

1 Answer

Unable to use the integration function


First you have to computational mode to [MODE][1:Comp]. Then press [SHIFT][MODE][1:MthIO].
Press the Integral, a template with the distinctive Integral (Snake) sign appears, with two small rectangles for the limits, a larger rectangle for the function, and dx.
The cursor will be blinking in the large level-line rectangle. Enter your function using the [ALPHA] [Letter] combinations to enter X,Y,A,B,C,or D, then use the Down Arrow to enter the lower limit, then the Up Arrow for the upper limits.
After you finish press the [=] to get the numerical result.
You cannot obtain primitives, just numerical values.

Mar 30, 2009 | Casio FX-115ES Scientific Calculator

2 Answers

Integration with limits & with out limits


Hello,
This calculator can only perform NUMERICAL DEFINITE integrals. Which meansyou have to supply the numerical value of the lower limit and the numerical value of the upper limit. The result is a numerical value.
The calculator cannot perform symbolic calculus.

If the function is simple you find the integral in tables of integrals where you will see that INT(log(X)dx=x(log(x)+1). Some calculators that have a CAS (computer algebra system) can manipulate symbolic expression, but not theCasio FX-991ES.

You ask it the value of the integral of log(X) from X=1 to X=3 and it will give you 0.5627748004

Hope it helps



Dec 12, 2008 | Texas Instruments TI-84 Plus Calculator

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