- #1
coki2000
- 91
- 0
Hi,
I want to find the derivative of factorial function f(x)=x! and i found this integral,
[tex]f(x)=x!=\int_{0}^{\infty}e^{-t}t^xdt[/tex] when i take derivative of this
[tex]\frac{d}{dx}f(x)=\frac{d}{dx}\int_{0}^{\infty}e^{-t}t^xdt=\int_{0}^{\infty}e^{-t}t^xlnxdx[/tex]
How do i find this integral? Please help me. Thanks.
I want to find the derivative of factorial function f(x)=x! and i found this integral,
[tex]f(x)=x!=\int_{0}^{\infty}e^{-t}t^xdt[/tex] when i take derivative of this
[tex]\frac{d}{dx}f(x)=\frac{d}{dx}\int_{0}^{\infty}e^{-t}t^xdt=\int_{0}^{\infty}e^{-t}t^xlnxdx[/tex]
How do i find this integral? Please help me. Thanks.