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==== Template Key ====

Return to the Prime Programming Page:  \\
[[Prime:Programming|Prime Programming Language (PPL)]]


=== Σ ===

Calculates the sum of an expression.  

** Syntax **

** Input: **

** Program Editor ** \\
** Algebraic Entry **

Σ(expression, variable, lower limit, upper limit, step)

CAS Mode only:  //step// can be omitted.  When step is omitted, the increment is assumed to be 1.  

Call up the template and fill the necessary blanks.  The sum is calculated when you press the Enter key.  

** Examples: **

CAS Mode: \\
Σ(7*n²,n,1,6) returns 637

Home Mode - Algebraic Entry: \\
Σ(7*N²,N,1, 6) returns 637

** Notes: ** In CAS mode, the //variable// must be in **lowercase**.   In Home mode, the //variable// must be in **UPPERCASE**.  

** Access: **  Template,  Summation template: 3rd row, 3rd column

** See Also:  **  sum

=== ∫ ===

Calculates the integral of  a function.  Depending on the number of arguments used, an indefinite (symbolic) or definite (numeric) integral will be calculated.  

** Syntax **

** Input: **

Call up the template and fill the necessary blanks.  In CAS mode, you can omit the upper and lower limit for an indefinite integral.  

** Program Mode ** \\
** Algebraic Entry **

CAS Mode Only:  Indefinite Integral of f(x): \\
∫(function of x)

CAS Mode Only:  Indefinite Integral of any variable: \\
∫(expression, variable)

Definite Integral: \\
∫(expression, variable, lower limit, upper limit)

**  Textbook Entry **  \\
** Home Mode - RPN **

Call up the template and fill the necessary blanks.  The sum is calculated when you press the Enter key.  The variables must be in uppercase.

** Examples: **

CAS Mode: \\
∫(6-3*x) returns (-3*x^2+12*x)/2

Home Mode - Algebraic Entry: \\
∫(4+3*LN(N),N,1,5) returns 28.1415686865

** Access: **  Template,  Integral template: 2nd row, 4th column

** See Also:  **  int, ibpdv, ibpu, preval
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