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Similar expressions
du/(u-1)

Integral of du/(u+1) dx

The solution

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  E         
  /         
 |          
 |    1     
 |  ----- du
 |  u + 1   
 |          
/           
1

$$\int\limits_{1}^{e} \frac{1}{u + 1}\, du$$

Integral(1/(u + 1), (u, 1, E))

Detail solution

Let $\text{False}$ .

Then let $du = du$ and substitute $du$ :

$\int \frac{1}{u}\, du$
1. The integral of $\frac{1}{u}$ is $\log{\left(u \right)}$ .
Now substitute $u$ back in:

$\log{\left(u + 1 \right)}$
Now simplify:

$\log{\left(u + 1 \right)}$
Add the constant of integration:

$\log{\left(u + 1 \right)}+ \mathrm{constant}$

The answer is:

$\log{\left(u + 1 \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                         
 |                          
 |   1                      
 | ----- du = C + log(u + 1)
 | u + 1                    
 |                          
/

$$\int \frac{1}{u + 1}\, du = C + \log{\left(u + 1 \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-log(2) + log(1 + E)

$$- \log{\left(2 \right)} + \log{\left(1 + e \right)}$$

-log(2) + log(1 + E)

$$- \log{\left(2 \right)} + \log{\left(1 + e \right)}$$

-log(2) + log(1 + E)

Numerical answer [src]

0.620114506958278

0.620114506958278

Use the examples entering the upper and lower limits of integration.

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of du/(u+1) dx

Limits of integration:

The graph:

Piecewise:

The solution