HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 202
Intvxf, Intvxfx
UPC - 882780045217
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hp40g+.book Page 20 Friday, December 9, 2005 1:03 AM 14-20 Example Given: f(x) = ------x------x2 - 1 + LN⎝⎛ x-x----+-----1-1-⎠⎞ calculate a primitive of f. Type: NTVX⎛⎝ ------X-------X2 + 1 + L N⎝⎛ X-X-----+-----1-1-⎠⎞ ⎞ ⎠ Or, if you have stored f(x) in F, that is, if you have already typed: TOR E⎛⎝ ------X-------X2 - 1 + L N ⎛ ⎝ X-X-----+-----1-1-⎠⎞ ,F⎠⎞ then type: INTVX(F) Or, if you have used DEF to define f(x), that is, if you have already typed: DEF(F(X) = ------X-------X2 - 1 + L N ⎛ ⎝ X-X-----+-----1-1-⎠⎞ ⎞ ⎠ then type: INTVX(F(X)) The result in all cases is equivalent to: X ⋅ L N ⎝⎛ X-X-----+-----1-1-⎠⎞ + 3-2 ⋅ LN( X - 1 ) + 3-2 ⋅ LN( X + 1 You will obtain absolute values only in Rigorous mode. (See "CAS modes" on page 14-5 for instructions on setting and changing modes.) Example Calculate: 2 x6 + 2 ⋅ x4 + x2 dx Typing: Computer Algebra System (CAS)