Wolfram seems to have treated the second x as some constant X. In fact, it looks suspiciously as though it has interpreted "icx" as Roman Numerals "CIX" (109). Bizarre.chaotic said:when i take the same derivative with wolfram i get another result http://www.wolframalpha.com/input/?i=d(e^(-kx)+e^(icx))/dx
Yes, [itex]\ \ i(c+i k) e^{-k x+i c x}\ \ [/itex] is a bit odd, isn't it?voko said:A space after i and before c does wonders. But the output is still a bit odd.
An imaginary integral and derivative is a mathematical concept that involves taking the integral or derivative of a function that includes imaginary numbers, which are numbers that involve the square root of a negative number.
An imaginary integral and derivative follows the same rules as a regular integral and derivative, but it involves using complex numbers and complex conjugates in the calculations.
An imaginary integral and derivative is commonly used in physics and engineering, particularly in fields involving waves and oscillations, to model and analyze systems that involve complex numbers.
To solve an imaginary integral, you follow the same steps as solving a regular integral, but you may need to use complex numbers and complex conjugates in your calculations. Similarly, solving an imaginary derivative involves using complex numbers and complex conjugates in the derivative formula.
While imaginary integrals and derivatives are useful in certain applications, they may not be applicable in all situations. For example, in some cases, the use of imaginary numbers may not accurately represent the real-world phenomenon being studied.