HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 417)

100

101

By Parts v

Performs integration by parts of the expression f(x)=u(x)*v'(x), with f(x) as the rst argument and v(x) (or 0)

as the second argument. Specically, returns a vector whose rst element is u(x)*v(x) and whose second

element is v(x)*u'(x). With the optional third, fourth and fth arguments you can specify a variable of

integration and bounds of the integration. If no variable of integration is provided, it is taken as x.

ibpdv(f(Var), v(Var), [Var], [Real1], [Real2])

Example:

ibpdv(ln(x),x) gives x*ln(x)-x

F(b)–F(a)

Returns F(b)–F(a).

preval(Expr(F(var)),Real(a),Real(b),[Var])

Example:

preval(x^2-2,2,3) gives 5

Calculus – Limits

Riemann Sum

Returns an equivalent of the sum of Expr for var2 from var2=1 to var2=var1 (in the neighborhood of n=+∞)

when the sum is looked at as a Riemann sum associated with a continuous function dened on [0,1].

sum_riemann(Expr, [Var1 Var2])

Example:

sum_riemann(1/(n+k),[n,k]) gives ln(2)

Taylor

Returns the Taylor series expansion of an expression at a point or at innity (by default, at x=0 and with

relative order=5).

taylor(Expr,[Var=Value],[Order])

Example:

taylor(sin(x)/x,x=0) returns 1-(1/6)*x^2+(1/120)*x^4+x^6*order_size(x)

Taylor of Quotient

Returns the n-degree Taylor polynomial for the quotient of 2 polynomials.

divpc(Poly1,Poly2,Integer)

Example:

divpc(x^4+x+2,x^2+1,5) returns the 5th-degree polynomial x^5+3*x^4-x^3-2*x^2+x+2

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