Solve Integration Prob: \int \frac{1}{x} dx

[look416]

Homework Statement

Integrate $$\int \frac{1}{x}$$ dx

Homework Equations

The Attempt at a Solution

using formula of integration what i got is $$\frac{1}{0}$$
which is infinity wth

 

[tiny-tim]

Hi look416!

Homework Statement

Integrate $$\int \frac{1}{x}$$ dx

Homework Equations

The Attempt at a Solution

using formula of integration what i got is $$\frac{1}{0}$$
which is infinity wth

But what are the limits of integration?

(and the integral of 1/x is logx )

 

[look416]

ops for got to put
the limits are e < x < 1

 

[Mark44]

It's not true that e < 1, so you can't have e < x < 1. The limits of integration are x = 1 and x = e, most likely, with the lower limit of integration being x = 1. If you have them in the other order you'll get a negative value for the integral.

 

[look416]

very sorry
just rechecked the question yep
its 1 < x < e
but still i have no idea to integrate it

 

[dextercioby]

Do you know any result/formula which could help you calculate $\int_{1}^{e} \frac{1}{x} \ {} dx$ ?

 

[TheoMcCloskey]

I think OP needs to review basic definition of integration of f(x)=1/x. It does not follow the "power rule" that he has inadvertly applied.