The integral of x^x can not be expressed using elementary functions. In fact, this is true about many integrals.
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x integration 0 x integration x siny/ydydx
∫ ax dx = ax/ln(a) + C C is the constant of integration.
It is cosh(x) + c where c is a constant of integration.
Assuming integration is with respect to a variable, x, the answer is 34x + c where c is the constant of integration.
Integration by Parts is a special method of integration that is often useful when two functions.