Symbolic integration patterns, Symbolic integration -7 – HP 48g Graphing Calculator User Manual

Page 270

Attention! The text in this document has been recognized automatically. To view the original document, you can use the "Original mode".

Advertising
background image

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/<p is the same as INV((/i).

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

Advertising
This manual is related to the following products: