A multiplication of a constant inside a log is the same as adding a constant to the log (log(a*b) = log(a) + log(b)). So both are valid integrals, because of the constant of integration. You can check yourself that both give the original expression if you differentiate them.
Aaron Meurer On Sun, Sep 18, 2016 at 10:06 PM, Raphael Timbó <raphae...@gmail.com> wrote: > Since the images with the results are distorted: > > First result: > > -(1/4)*log(4*t - 16) > > Results given by the step-by=step solution on sympy gamma: > > -(1/4)*log(-t + 4) > > > > On Sunday, September 18, 2016 at 3:18:31 PM UTC-3, Raphael Timbó wrote: >> >> Hi, >> I was trying to use: >> integrate(Rational(1,4)*(1/(4-t))) >> >> This was returning: >> −14log(4t−16) >> >> I was not expecting this result... I went to sympy gamma to see the steps >> and I saw that: >> >> Antiderivative forms: >> <http://gamma.sympy.org/input/?i=integrate%28Rational%281%2C4%29*%281%2F%284-t%29%29%29#integral_alternate_fake> >> >> - integrate(1/(4*(-t + 4)), t) >> −14log(4t−16) >> >> >> But when you check the steps you have: >> >> The answer is: >> >> −14log(−t+4)+constant >> >> >> >> >> >> I could not understand why the results are different... >> Any explanation? >> >> Thank you! >> >> -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To post to this group, send email to sympy@googlegroups.com. > Visit this group at https://groups.google.com/group/sympy. > To view this discussion on the web visit https://groups.google.com/d/ > msgid/sympy/c70c7c01-296d-4998-bb0e-04f324ad64fc%40googlegroups.com > <https://groups.google.com/d/msgid/sympy/c70c7c01-296d-4998-bb0e-04f324ad64fc%40googlegroups.com?utm_medium=email&utm_source=footer> > . > > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAKgW%3D6JMy-JnBpgMULFs8XEg%2BRGxvCK%3D2Tyx4hwt4ZY892eBvA%40mail.gmail.com. For more options, visit https://groups.google.com/d/optout.
