HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 203

hp40g+.book Page 21 Friday, December 9, 2005 1:03 AM NT V X ⎛ ⎝ -X---6----+-----2-----⋅2---X---4----+-----X----2-⎠⎞ gives a primitive: -3 ⋅ atan(x) - 2-- - ------x-------x x2 + 1 Note NOTE: ∫ You can also type X 2 dX which gives the X6 + 2 ⋅ X4 + X2 1 primitive which is zero for x = 1 -3 ⋅ atan ( x ) - 2-x - ⎛ ⎝ ------x------x2 + 1 + 3 4--+-----1---0-⎠⎞ Example Calculate: ∫ -s--i--n---(---x---)---+----1--s--i--n---(---2----⋅---x---)-dx Typing: NTVX ⎛ ⎝ S----I---N----(---X 1-S----I--N-----(--2-----⋅---X----)⎠⎞ gives the result: 1-- ⋅ LN( cos(X) - 1 ) + 1-- ⋅ LN( cos(X) + 1 ) + 6 2 -----23 ⋅ LN( 2 cos (X ) + 1 ) If the argument to INTVX is the AND of two elements, INTVX concerns itself only with the second element of the AND, and adds the result to the first argument. lim Calculate limits LIMIT or lim has two arguments: an expression dependent on a variable, and an equality (a variable = the value to which you want to calculate the limit). You can omit the name of the variable and the sign =, when this name is in VX). It is often preferable to use a quoted expression: Computer Algebra System (CAS) 14-21