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

[Albert Chan]

(11-22-2019 08:37 AM)yangyongkang Wrote:  (ii)

Code:

int(atan(x)/(x^2*(1+x^2)),x)

Hp prime didn't figure it out, this is the result of Wolfram Alpha

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