if n > 0, then Γ(n) is ........... . (a) ∫e^-x x^n-1dx, x∈[0, 1] (b) ∫e^-xx^ndx, x∈[0, 1]​ (c) ∫e^xx^-ndx, x∈[0, ∞] ​

Question

if n > 0, then Γ(n) is ........... .

(a) \(\int\limits_{0}^{1}\)e^-xx^n-1dx

(b) \(\int\limits_{0}^{1}\)e^-xxⁿdx

(c)\(\int\limits_{0}^{∞}\)e^xx^-ndx

(d) \(\int\limits_{0}^{∞}\)e^-xx^{n - 1}dx

Answer 1

(d) \(\int\limits_{0}^{∞}\)e^-xx^{n - 1}dx