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0-x-c-c-x-dx-




Question Number 154987 by tabata last updated on 24/Sep/21
∫_0 ^( ∞)  (x^c /c^x )  dx
$$\int_{\mathrm{0}} ^{\:\infty} \:\frac{{x}^{{c}} }{{c}^{{x}} }\:\:{dx} \\ $$
Commented by talminator2856791 last updated on 24/Sep/21
 the integral diverges for c ∈ (0,1)
$$\:\mathrm{the}\:\mathrm{integral}\:\mathrm{diverges}\:\mathrm{for}\:{c}\:\in\:\left(\mathrm{0},\mathrm{1}\right)\: \\ $$
Answered by tabata last updated on 24/Sep/21

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