Give me the answers of the following integrations?
∫ (x^x) dx = ?
∫ (x^sinx) dx = ?
∫ (x^ln (x)) dx = ?
∫ (x^(x^2)) dx = ?
∫ (x^(1/x)) dx = ?
∫ (x^(1/cos x)) dx = ?
Please post one question at a time and try using words like 'please help me understand',
rather than 'give me the answers'. A little politeness can get you a long way in life.
I suspect this is a deliberately awkward question! None of the integrals listed have results in terms of standard mathematical functions ( except possibly for the ln(x) one; but even there the result is in terms of the imaginary error function, hardly a common function!). There are solutions in terms of series - see WolframAlpha.
\(\int x^x dx\)