HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 206

hp40g+.book Page 24 Friday, December 9, 2005 1:03 AM RISCH NOTE: PREVAL is used for calculating an integral defined from a primitive: it evaluates this primitive between the two limits of the integral. Typing: PREVAL(X2+X,2,3) gives: 6 Primitive and defined integral RISCH has two parameters: an expression and the name of a variable. RISCH returns a primitive of the first parameter with respect to the variable specified in the second parameter. Typing: RISCH((2·X2+1)·EXP(X2+1),X) gives: X·EXP(X2+1) If the RISCH parameter is the AND of two elements, RISCH concerns itself only with the second element of the AND, and adds the result to the first argument. SERIES Limited nth-order expansion SERIES has three arguments: an expression dependent on a variable, an equality (the variable x = the value a to which you want to calculate the expansion) and a whole number (the order n of the limited expansion). You can omit the name of the variable and the = sign when this name is in VX). SERIES returns the limited nth-order expansion of the expression in the vicinity of x = a. • Example - Expansion in the vicinity of x=a Give a vicinity limited of x = 4π--th. -order expansion of cos(2 · x)2 in the 6 For this you use the SERIES command. 14-24 Computer Algebra System (CAS)