HP50-Integral - Hewlett Packard

This is a discussion on HP50-Integral - Hewlett Packard ; Hello there! I'd like to (symbolically) solve the following Integral: a / (a^2 + x^2)^(3/2); integrand: a; borders 0, R Is this even possible on the hp50? Thanks for the help in advance! greetings andreia...

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Thread: HP50-Integral

  1. HP50-Integral

    Hello there!

    I'd like to (symbolically) solve the following Integral:

    a / (a^2 + x^2)^(3/2); integrand: a; borders 0, R

    Is this even possible on the hp50?

    Thanks for the help in advance!

    greetings
    andreia

  2. Re: HP50-Integral

    On Nov 10, 9:15*am, MarsVolta wrote:
    > I'd like to (symbolically) solve the following Integral:


    > a / (a^2 + x^2)^(3/2); integrand: a; borders 0, R
    >
    > Is this even possible on the hp50?
    >


    Sure. First clear flags 2 and 3 to get symbolic mode. Then enter:

    Lev4: 0
    Lev3: R
    Lev2: a / (a^2 + x^2)^(3/2)
    Lev1: a

    Then press the integral key (RS-TAN). After it thinks for a while,
    you get

    '((R^2+X^2)*ABS(X)-X^2*(R^2+X^2))/(X^2*R^2+X^4)'

    SIMPLIFY didn't reduce it any further.

    Bill

  3. Re: HP50-Integral

    On 10 nov, 12:15, MarsVolta wrote:
    > Hello there!
    >
    > I'd like to (symbolically) solve the following Integral:
    >
    > a / (a^2 + x^2)^(3/2); integrand: a; borders 0, R
    >
    > Is this even possible on the hp50?
    >
    > Thanks for the help in advance!
    >
    > greetings
    > andreia


    Hello,
    just enter in equation writer the equation as integrand, the limits 0
    and R and type EVAL, and it goes.
    Marcelo

  4. Re: HP50-Integral

    On Nov 10, 9:15*am, MarsVolta wrote:
    > Hello there!
    >
    > I'd like to (symbolically) solve the following Integral:
    >
    > a / (a^2 + x^2)^(3/2); integrand: a; borders 0, R
    >
    > Is this even possible on the hp50?
    >
    > Thanks for the help in advance!
    >
    > greetings
    > andreia



    If a is your variable of integration and x is constant, then the anti-
    derivative F(a) is:

    -1/(sqrt(a^2+x^2) + C.

    Then evaluate F(R) - F(0) for the answer.

    On the 50g, if you type in

    2: a / (a^2 + x^2)^(3/2)
    1: a

    and use the command RISCH (symbolic integration; access it in [RS]
    CALC(4) DERIV(F1) NXT F5), the 50g returns the antiderivative (without
    the constant of integration). This way, you eliminate the absolute
    values that the calculator introduces but does not simplify.

    S.C.

  5. Re: HP50-Integral

    On Nov 10, 4:26*pm, sc_use...@hotmail.com wrote:
    > and use the command RISCH (symbolic integration; access it in [RS]
    > CALC(4) DERIV(F1) NXT F5),



    Whoops, I meant [LS] CALC(4).

    S.C.

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