# Integrate (1+(1/x))^x

1. Feb 20, 2016

### Phys_Boi

1. The problem statement, all variables and given/known data
∫(1+(1/x))^x dx

2. Relevant equations
How do I integrate this compound intrest e approximation

3. The attempt at a solution
Inside: x + ln(|x|) + C
Outside: (a^x)/(ln(a))

2. Feb 20, 2016

### Staff: Mentor

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

3. Feb 20, 2016

### Phys_Boi

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.

4. Feb 20, 2016

### Ray Vickson

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

5. Feb 20, 2016

### Staff: Mentor

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

6. Feb 20, 2016

### Phys_Boi

Oh okay. Thanks.

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