Dean Navels
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When integrating terms including the imaginary unit i and operators like position and momentum, do you simply treat these as constants?
Integrating terms that include the imaginary unit i and operators such as position and momentum involves treating these elements as constants during the integration process. Specifically, when calculating the integral ##\int_a^b ix dx##, the imaginary unit i can be factored out, resulting in the expression ##i\int_a^b x dx##. This approach is consistent across various applications in physics and mathematics where imaginary units are present.
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Thank you very much, sir!hilbert2 said:Yes, for example when you have the integral
##\int_a^b ix dx## ,
you can take the ##i## outside the integration like any constant:
##\int_a^b ix dx = i\int_a^b x dx## .