HP 49g Graphing Calculator - Manual (Page 153)

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:
Page 14-30 Computer Algebra Commands