HP50Integral  Hewlett Packard
This is a discussion on HP50Integral  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...

HP50Integral
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

Re: HP50Integral
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 (RSTAN). 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

Re: HP50Integral
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

Re: HP50Integral
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.

Re: HP50Integral
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.