How do I integrate (1+(1/x))^x?

[Phys_Boi]

Homework Statement

∫(1+(1/x))^x dx

Homework Equations

How do I integrate this compound interest e approximation

The Attempt at a Solution

Inside: x + ln(|x|) + C
Outside: (a^x)/(ln(a))

 

[mfb]

I would be extremely susprised if it has a closed form for the integral.

 

[Phys_Boi]

I would be extremely susprised if it has a closed form for the integral.

Thanks. I'm new and don't know a lot.. However the ti-84 will give me a value for a definite integral. I don't know how.

 

[Ray Vickson]

Thanks. I'm new and don't know a lot.. However the ti-84 will give me a value for a definite integral. I don't know how.

Exactly what definite integral are you entering? That is, what are the integration limits? Is the answer "symbolic" or "numerical"?

 

[mfb]

A specific definite integral can be way easier than an analytic expression for the indefinite integral.

 

[Phys_Boi]

Oh okay. Thanks.