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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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