Differential Calculations; Integration Calculations - Canon X Mark I Pro User Instruction

Differential Calculations

Press to enter COMP mode.
To perform a differential calculation, you have to input the
expression in the form of:
differential expression
• The differential expression must contain the variable x.
• "a" is the differential coefficient.
• " x" is the change interval of x (calculation precision).
Example: To determine the derivative at point x = 10,
the function f(x) = sin(3x + 30). ......
! You can leave out the x in the differential expression and the
calculator will automatically substitute a value for
! The smaller the entered value
time will be with more accurate results, the larger the entered value
x is, the shorter the calculation time will be with comparatively
less accurate results.
! Discontinuous points and extreme changes in the value of x can
cause inaccurate results or errors.
! When performing differential calculations with trigonometric
functions, select radian (Rad) as the angle unit setting.
! Log b, i~Rand, Rec ( and Pol ( functions can not join to differential
a
calculations.
a x
x = 10 -8 , for
EX #48
x.
x is, the the longer the calculation

Integration Calculations

Press to enter COMP mode.
To perform an integration calculation you are required to input
following elements:
integration expression
• The integration expression has a variable x.
• "a" and "b" defines the integration range of the definite integral.
• "n" is the number of partitions (equivalent to N = 2
The integration calculation is based on Simpson's rule.
As the number of significant digits is increased, internal integration
calculations may take considerable time to complete. For some
cases, even after considerable time is spent for performing a
calculation, the calculation results may be erroneous. Particularly
when significant digits are less than 1, an ERROR might be
occurred.
Example: Perform the integration calculation for
! When performing integration calculations with trigonometric
functions, select radian (Rad) as the angle unit setting.
! Log b, i~Rand, Rec ( and Pol ( functions can not join to integration
a
calculations.
21
a b n
n ).
tol
EX #49
......
, with n = 4.