10-01-2016, 11:03 PM
Definite integration in Home doesn't seem to accept complex-valued integrands, nor integrals with complex limits, e.g.,
\int (0, 2*pi, sin(X)*e^(X*i) dX) results in error - invalid input, and \int (-pi-i,pi+i, sin(X)*e^(X*i) dX) returns the same error message. Why is that? Needless to say, Complex is checked in Home settings.
However, no problems in CAS, returning i*pi, and (e^4-4*e^2-1)/(4*e^2)+i*pi, respectively.
\int (0, 2*pi, sin(X)*e^(X*i) dX) results in error - invalid input, and \int (-pi-i,pi+i, sin(X)*e^(X*i) dX) returns the same error message. Why is that? Needless to say, Complex is checked in Home settings.
However, no problems in CAS, returning i*pi, and (e^4-4*e^2-1)/(4*e^2)+i*pi, respectively.