constants may be added so that the
anti-derivative is valid over a larger interval.
·() can be nested for multiple integrals, and the
integration limits can depend on integration
variables outside the limits.
When both lower and upper are present, ·()
attempts to subdivide the integral at
discontinuities. Numerical integration is used in
Auto mode when a symbolic anti-derivative
cannot be determined. Numerical integration is
tried first in Approx mode, but anti-derivatives
are sought if numerical differentiation is
inapplicable or fails.
·() returns itself for pieces of expr it cannot
determine.
√
√√
√() (square root)
√(expr), √(list)
Return the square root of the argument.
‹
‹‹
‹(expr,var,low,high) (product)
Evaluate expr for each value of var from low to
high; return the product of the results. Return 1
if high = low -1. If high < low -1, return
1/‹(expr,var,high+1,low-1)
Σ
ΣΣ
Σ(expr,var,low,high) (sum)
Evaluate expr for each value of var from low to
high and return the sum of the results. Return
zero if high = low -1. If high < low -1, return
-Σ(expr,var,high+1,low-1)
^ (power)
expr1^expr2
Return expr1 raised to the power of expr2.
list1^list2
Return list whose elements are the elements of
list1 raised to the powers of the corresponding
elements of list2.
expr^list
Return list whose elements are expr raised to
the powers of the elements of list.
list^expr
Return list whose elements are the elements of
list raised to the expr power.
matrix^integer
Return matrix raised to the integer power. matrix
must be square. If integer = -1, return the matrix
inverse. If integer < -1, return the inverse matrix
raised to the -integer power.
# (indirection)
# varNameString
Refer to the variable whose name is
varNameString.
(radian)
expr, list, matrix
In Degree mode, multiply the argument by
180/Œ. Return argument unchanged in Radian
mode. Use to force radians regardless of the
current Angle mode.
° (degree)
expr°, list°, matrix°
In Radian mode, multiply the argument by
Œ/180. Return argument unchanged in Degree
mode. Use ° to force radians regardless of the
current Angle mode.
∠
∠∠
∠ (angle)
[r,∠θ_angle] (polar input)
[r,∠θ_angle,z] (cylindrical input)
[r,∠θ_angle,φ_angle] (spherical input)
Return argument coordinates as a vector
depending on the current Vector format setting:
rectangular, cylindrical or spherical
(magnitude∠angle) (polar input)
Enter a complex value in (r∠θ) format. angle is
interpreted according to the current Angle mode
setting.
°, ', " (degree, minute, second)
dd°mm'ss.ss"
Return dd + (mm/60) + (ss.ss/3600), where dd
is may be positive or negative, mm and ss.ss
are non-negative numbers. Enter a number in
base-60 format, which allows entering angle in
degrees, minutes and seconds, regardless of
the current Angle mode. Also allows entry of
times as hours, minutes and seconds.
' (prime)
var'
var''
Enter prime symbol in a differential equation
(DE). A single prime denotes a first-order DE,
two prime symbols denote a second-order DE.
15 - 30
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