## anonymous one year ago Integrate:

1. anonymous

$(x+(1/x))^x$

2. ganeshie8

may i know the context/source of this problem ?

3. anonymous

a friend gave it to me

4. welshfella

i entered this on wolframalpha and this is what i got:- http://www.wolframalpha.com/input/?i=integrate+%28x+%2B+%281%2Fx%29%5Ex++dx

5. Loser66

@welshfella you put the wrong problem on wolfram. It is $$(x+(1/x))^x$$

6. misty1212

$f(x)=\left(x+\frac{1}{x}\right)^x$?

7. anonymous

Yea

8. misty1212

and you want an "anti -derivative"?

9. misty1212

the chances that you can find the closed form for this anti derivative seem very very small to me

10. mathmate

@saumyawardhan1 Do you expect a closed form solution? If you have a particular problem to solve, you can consider power series expansion or numerical integration.

11. anonymous

The problem is of indefinite integral and the answer is in closed form.

12. Loser66

Can you post the answer? It can help us tracing back to the way to get it.

13. anonymous

You'll generally have a bad time trying to find a closed form for an antiderivative of $$f(x)^x$$ if $$f$$ is nonconstant.