
Symbolic Integration (continued)
Pattern
Antiderivative
l/(SINH(®)xCOSH(<i)) LN(TANH(0))
l/{SINH(0)xTANH(</.))
-INV(SINH(0))
SQ(0) 0V-3
TAN(0)2
TAN(0)-0
TAN(<^) -LN(COS(0))
TAN(<fi)/COS(<fi) INV{COS(0))
1/TAN(<^) LN(SIN(0))
l/TAN(^.)xSIN(<*))
-INV(SIN(0))
TANH(i)) LN(COSH(0))
TANH(0)/COSH(0) INV(COSH(0))
l/TANH(<i>)
LN{SINH(0))
l/TANH(0)xSINH(<i))
-INV(SINH(0))
V‘f>
2X01-V3
2Xs/0
l/(2xv'(<ii>))
2Xa/(0)x.5
0^(2 symbolic) IFTE(г==-l,LN{0),0(-+l)/(г + l))
(z real, ^0,-1)
0(‘' + ^)/(z + l)
0
LN(0)
1/0
LN(0)
l/(l-02)
ATANH(0)
ATAN(0)
l/(0^ + l)
ATAN(0)
i/(V(‘^-i)xV'(‘i>+i))
ACOSH(0j
ASIN(0)
ASINH(0)
W(0Hi)
ASINH(0)
20
Calculus and Symbolic Manipulation 20-31
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