Using information from the Wolframalpha site. It seems that this integral can't be expressed as a finite amount of standard functions; you can go to the Wolfram Alpha site, and type "integral x^x", to get a series expansion if you are interested.
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If x has the power 2 then you want the integral of x2, I think. When you integrate this you get : x3/3 , plus a constant.
replace square root o x with t.
x raised to the power 36 is x36. Without a value for x, there is nothing to solve!
x to the power of 1 means x