Integral Hangs

[Albert Chan]

(02-12-2022 03:22 PM)roadrunner Wrote:  works on xcas, but on the prime i get this error message:

"p:=subst('∫((1-e^(-2*x))/(1+e^(-4*x)),x)',x = (t/2))
Error: Bad Argument Value","∫((1-e^(-2*t/2))/(1+e^(-4*t/2)),t/2)
Error: Bad Argument Value"

It work if we replace symbol ∫ with words on the emulator

CAS> p:=subst('integrate((1-e^(-2*x))/(1+e^(-4*x)),x)',x = t/2)

integrate((1-e^(-2*t/2))/(1+e^(-4*t/2))/2,t)

CAS> expand(p(t=2x))

-1/2*atan(e^(2*x)) + 1/4*ln((e^(2*x))^2+1)

Or, simpler just map e^(n*x) with (e^x)^n

CAS> integrate(texpand((1-e^(-2*x))/(1+e^(-4*x))),x)

-1/2*atan((e^x)^2) + 1/4*ln((e^x)^4+1)