HP 48gII Graphing, 50g Graphing manual Technical Reference E3

Symbolic Integration (continued)

Pattern	Antiderivative
1/(SIN(φ)×TAN(φ))	–INV(SIN(φ))
1/(SIN(φ)2)	–INV(TAN(φ))
SINH(φ)	COSH(φ)
1/(SINH(φ)×COSH(φ))	LN(TANH(φ))
1/(SINH(φ)×TANH(φ))	–INV(SINH(φ))
SQ(φ)	φ 3/3
TAN(φ)2	TAN(φ)–φ
TAN(φ)	–LN(COS(φ))
TAN(φ)/COS(φ)	INV(COS(φ))
1/TAN(φ)	LN(SIN(φ))
1/TAN(φ)×SIN(φ))	–INV(SIN(φ))
TANH(φ)	LN(COSH(φ))
TANH(φ)/COSH(φ)	INV(COSH(φ))
1/TANH(φ)	LN(SINH(φ))
1/TANH(φ)×SINH(φ))	–INV(SINH(φ))
φ	2×φ 1.5/3
1/ φ	2× φ
1/(2× (φ))	2× (φ)×.5
φ z(z symbolic)	IFTE(z = = –1,LN(φ),φ(z+1)/(z+1))
φ z(z real, ≠0,–1)	φ (z+1)/(z+1)
φ 0	φ
φ –1	LN(φ)
1/φ	LN(φ)
1/(1–φ2)	ATANH(φ)
1/(1+φ 2)	ATAN(φ)
1/(φ 2+1)	ATAN(φ)
1/( (φ–1)× (φ+1))	ACOSH(φ)
1/ (1–φ2)	ASIN(φ)
1/ (1+φ 2)	ASINH(φ)
1/ (φ 2+1)	ASINH(φ)

Technical Reference E3