anonymous
  • anonymous
∫ x^x dx = ?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
+C
watchmath
  • watchmath
The solution is not an elementary function http://en.wikipedia.org/wiki/Antiderivative
anonymous
  • anonymous
The indefinite integral also has some unknown constant. This can be proven by completing the opposite operations. (derivative) in which C would go to 0. The value of C can be found in cases when an initial condition of the function is given.

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anonymous
  • anonymous
Interestingly (for me ...:( ), the definite integral: ∫ x^x dx from 0 to 1 has a very pleasing answer (in the form of a series). [Sorry for the crude description, I would use LaTeX but it isn't working for me right now]

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