X x ka samakalan ∫x x = X ki power x ka samakalan =====

Question

Arun · Answer

There is no antiderivative for that function. But if you were to specify limits of integration, you could find the definite integral numerically

Vikas TU · Answer

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

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X x ka samakalan ∫x x = X ki power x ka samakalan =====

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

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X x ka samakalan ∫x x = X ki power x ka samakalan =====

Xx ka samakalan ∫xx = X ki power x ka samakalan =====

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