[Bug or Suggestion]About HP Prime G1 New Beta Firmware

11222019, 08:37 AM
Post: #1




[Bug or Suggestion]About HP Prime G1 New Beta Firmware
I downloaded the latest HP Prime RC firmware，
This is the information of my calculator Code: HP Prime: "HP Prime Graphing Calculator Software Version: 2.1.14341 (2019 11 20) BETA Hardware Version: A CAS Version: 1.5.0 Serial Number: 4CY3450CZZ Operating System: V0.050.640 © 2019 HP Development Company, L.P. " (i) Code: plotfunc(x^ln(x)) (ii) Code: int(atan(x)/(x^2*(1+x^2)),x) (iii) Code: simplify((1/sin((π/18)))(sqrt(3)/cos((π/18)))) Code: (√3*tan(2/9*π)^4+√32*tan(2/9*π)^32*tan(2/9*π))/(2*tan(2/9*π)^32*tan(2/9*π)) Code: evalf((1/sin((π/18)))(sqrt(3)/cos((π/18)))) Code: 4 study hard, improve every day 

11222019, 06:03 PM
Post: #2




RE: [Bug or Suggestion]About HP Prime G1 New Beta Firmware
(11222019 08:37 AM)yangyongkang Wrote: (ii) For XCas, it needed a nudge: \({1\over x^2(x^2+1)} = {1 \over x^2}  {1 \over 1+x^2}\) ∫ (atan(x)/(x^2*(1+x^2)) dx = ∫ atan(x) d(1/x)  ∫ atan(x) d(atan(x)) Xcas> int(partfrac(atan(x)/(x^2*(1+x^2))),x) → atan(x)^2/2 + ln(x^2)/2  ln(x^2+1)/2  atan(x)/x 

11232019, 02:18 AM
(This post was last modified: 11232019 02:27 AM by yangyongkang.)
Post: #3




RE: [Bug or Suggestion]About HP Prime G1 New Beta Firmware
In the process of using, I have encountered more troublesome indefinite points.
(i) Code: ∫(e^atan(x)/(sqrt(x^2+1))/(1+x^2),x) Code: subst(∫(e^atan(x)/(sqrt(x^2+1))/(1+x^2),x),x=tan(t)) But the new firmware can't be solved (ii) Code: int(1/sqrt(x^3x),x) Code: ∫(1/(1+x^4)^(5/4)) (iii) Code: ∫(x*e^x/(sqrt(e^x1)),x) Code: subst(∫((e^x*sqrt(e^x1)*x)/(e^x1),x),equal(x,ln(t^2+1))) Code: 2*t*ln(t^2+1)*sign(t)4*t*sign(t)+4*atan(t)*sign(t) study hard, improve every day 

11292019, 02:38 PM
Post: #4




RE: [Bug or Suggestion]About HP Prime G1 New Beta Firmware
Related issues
Code: ∫(∫(e^((x^2+y^2)/2),y,(sqrt(a^2x^2)),sqrt(a^2x^2)),x,a,a) Code: integrate(sqrt(pi)*1/(sqrt(2))*erf(sqrt(a^2x^2)*exp(ln(2)/2)/2)*exp(x^2/2)sqrt(pi)*1/(sqrt(2))*erf(sqrt(a^2x^2)*exp(ln(2)/2)/2)*exp(x^2/2),x,a,a) In fact, we can get the correct answer through polar transformation. Code: ∫(∫(e^(r^2/2)*r,r,0,a),x,0,2π) Code: 2*pi*(exp(a^2/2)+1) study hard, improve every day 

12042019, 01:32 PM
Post: #5




RE: [Bug or Suggestion]About HP Prime G1 New Beta Firmware
There are some other examples
(i) Code: normal((simplify(int(e^(sin(x))*(x*cos(x)^3sin(x))/cos(x)^2,x)))) Code: (x*exp(tan(x/2)/(tan(x/2)^2+1))^2*tan(x/2)^2x*exp(tan(x/2)/(tan(x/2)^2+1))^2+exp(tan(x/2)/(tan(x/2)^2+1))^2*tan(x/2)^2+exp(tan(x/2)/(tan(x/2)^2+1))^2)/(tan(x/2)^21) (ii) Code: int((sqrt(1+x^2)+sqrt(1x^2))/sqrt(1x^4),x) Code: int((sqrt(1+x^2)+sqrt(1x^2))/sqrt(1+x^4),x) study hard, improve every day 

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