Building on @Emmanuel Charpentier's answer.
Below:
- result when
e
is as when Sage starts - result when
e
is a symbolic variable - how to restore the initial value of
e
With e
as when Sage starts, no unsimplified log(e)
:
sage: log(e)
1
sage: f(x) = e^x*cos(x)
sage: f_int(x) = integrate(f, x)
sage: f_int(x)
1/2*(cos(x) + sin(x))*e^x
With e
redefined as a symbolic variable, log(e)
stays log(e)
:
sage: e = SR.var('e')
sage: log(e)
log(e)
sage: f(x) = e^x*cos(x)
sage: f_int(x) = integrate(f,x)
sage: f_int(x)
(e^x*cos(x)*log(e) + e^x*sin(x))/(log(e)^2 + 1)
To reset e
to its default value, use either:
sage: reset('e')
or
sage: e = sage.symbolic.constants.e
or
sage: from sage.symbolic.constants import e
To figure out what import statement to use above,
run this in a fresh Sage session:
sage: import_statements(e)
from sage.symbolic.constants import e
which Sagemath version ? I got :
1/2*(cos(x) + sin(x))*e^x
with 9.1moreover I got the same with
(e^x*cos(x)*log(e) + e^x*sin(x))/(log(e)^2 + 1).simplify()