X^x ka samakalan

∫x^{x =}

^{X ki power x ka samakalan =====}

Dear student 

∫x^xdx cannot be expressed in terms of elementary functions. The integral can be expressed in terms of standard transcendental functions,
∫x^xdx=−∑n=1 to ∞  (−n)^^n/{(n−1)!} Γ(n,−nlogx)
The derivation of this result is complex and quite hard work, and not especially useful: this is theoretically interesting as an exact result for the integral but not effective for evaluating the integral