# HP50-Integral

• 11-10-2008, 02:15 PM
unix
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
• 11-10-2008, 03:23 PM
unix
Re: HP50-Integral
On Nov 10, 9:15*am, MarsVolta <andreia.far...@gmail.com> wrote:[color=blue]
> I'd like to (symbolically) solve the following Integral:[/color]
[color=blue]
> a / (a^2 + x^2)^(3/2); integrand: a; borders 0, R
>
> Is this even possible on the hp50?
>[/color]

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*ƒ(R^2+X^2))/(X^2*R^2+X^4)'

SIMPLIFY didn't reduce it any further.

Bill
• 11-10-2008, 03:25 PM
unix
Re: HP50-Integral
On 10 nov, 12:15, MarsVolta <andreia.far...@gmail.com> wrote:[color=blue]
> 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[/color]

Hello,
just enter in equation writer the equation as integrand, the limits 0
and R and type EVAL, and it goes.
Marcelo
• 11-10-2008, 09:26 PM
unix
Re: HP50-Integral
On Nov 10, 9:15*am, MarsVolta <andreia.far...@gmail.com> wrote:[color=blue]
> 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[/color]

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.
• 11-10-2008, 09:38 PM
unix
Re: HP50-Integral
On Nov 10, 4:26*pm, sc_use...@hotmail.com wrote:[color=blue]
> and use the command RISCH (symbolic integration; access it in [RS]
> CALC(4) DERIV(F1) NXT F5),[/color]

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

S.C.