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Дьявол
Дьявол is offline
#68
Aug2-09, 06:45 AM
P: 365
[tex]\int{x^xdx}[/tex]

[tex]t=x^x[/tex]

[tex]dt=x*x^{x-1}dx[/tex]

[tex]dt=x^xdx[/tex]

[tex]dx=\frac{dt}{x^x}[/tex]

[tex]\int{x^x * \frac{dt}{x^x}}=\int{dt}=[/tex]
[tex]=t=x^x[/tex]

I don't find it difficult to solve at all.