13-6 Using mathematical functions
 Takes the nth root of x.
root NTHROOT value
Example
3 NTHROOT 8 returns 2 
Calculus functions
The symbols for differentiation and integration are 
available directly form the keyboard—  and S 
respectively—as well as from the MATH menu. 
Differentiates expression with respect to the variable of 
differentiation. From the command line, use a formal 
name (S1, etc.) for a non-numeric result. See “Finding 
derivatives” on page 13-21.
variable(expression)
Example
s1(s1
2
+3*s1) returns 2*s1+3
Integrates expression from lower to upper limits with 
respect to the variable of integration. To find the definite 
integral, both limits must have numeric values (that is, be 
numbers or real variables). To find the indefinite integral, 
one of the limits must be a formal variable (s1, etc).
(lower, upper, expression, variable)
See “Using formal variables” on page 13-20 for 
further details.
Example
(0,s1,2*X+3,X)   
finds the indefinite result 3*s1+2*(s1^2/2)
See “To find the indefinite integral using formal 
variables” on page 13-23 for more information on 
finding indefinite integrals.
n
∂
∂
∂
∫
∫
∫
HP 39gs English.book  Page 6  Wednesday, December 7, 2005  11:24 PM