Symbolic integration patterns, Symbolic integration -7 – HP 48g Graphing Calculator User Manual
Page 270
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Symbolic Integration Patterns
This table lists the symbolic integration patterns used by the HP 48.
These are the integrands that the HP 48 can integrate symbolically.
(f> is a linear function of the variable of integration. The antiderivatives
should be divided by the first-order coefficient in © to reduce the
expression to its simplest form. Also, patterns beginning with 1/
match INV: for example, l/
Symbolic integration
Pattern
Antiderivative
ACOS(A)
0xACOS(0)-y(l-02)
ALOGlfli)
.434294481904 X ALOG(0)
AS1N(0)
0xASIN(0)+y(l-02)
ATAN(i4)
0
x
ATAN(0-LN(H-02)/2
COS(^A)
SIN(0)
l/(COS(
0
)xSIN(
0
))
LN(TAN(0))
COSH(0)
SINH(0)
l/(COSH(0)xSINH(0))
LN(TANH(0))
1/(COSH(0)2)
TANH(0)
EXP(0)
EXP(0)
EXPM(0)
EXP(0)-0
LN(0)
0xLN(0)-0
LOG(0)
.434294481904 x 0 X LN(0) - 0
SIGN(0)
ABS(0)
SIN(0)
-COS(0)
l/(SIN(0)xCOS(0))
LN(TAN(0))
l/(SIN(0)xTAN(0))
-INV(SIN{0))
l/(SIN(0)xTAN(0))
-INV (SIN (0))
1/(SIN(0)2)
-INV(TAN(0))
SINH(0)
COSH{0)
1/(SINH(0)
x
2
-INV(SIN(0))
20
20-30 Calculus and Symbolic Manipulation