Ibernoulli – HP 49g Graphing Calculator User Manual
Page 153
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See also:
ABCUV
lEGCD
IBERNOULLI
Type:
Fimction
Description:
Returns the nth Bernoulli number for a given integer.
Access:
Catalog, @D
Input:
Level 1/Ai'giuuent 1: an integer.
Output:
Level 1/Item 1: The corresponding nth Bernoulli number
for the integer.
Flags:
Numeric mode must not be set (flag -03 clear).
IBP
Type:
Command
Description:
Performs integration by parts on a function. The
function must be able to be represented as a product of
two fimctions, where the antiderivative of one of the
functions is known:
f(x) = u(x).v’(x)
Note that the command is designed for use in RPN mode
only.
Access:
Calculus,
0@I)
deriv
&
integ
Input:
Level 2: The integrand expressed as a product of two
fimctions, u(x).v’(x)
Level 1: The antiderivative of one of the component
fimctions, v(x).
Output:
Level 2: uCaOvCa:)
Level 1: -u’(ir)v(a:)
Flags:
Exact mode must be set (flag -105 clear).
Nimieric mode must not be set (flag -03 clear).
Example:
Use integration by parts to calculate the following:
jxcos{x)dx
Command 1: Apply the IBP command:
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Computer Algebra Commands