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Solving integrals/ ln((sqrty)+1)

Integral of ln((sqrty)+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |     /  ___    \   
 |  log\\/ y  + 1/ dy
 |                   
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0
$$\int\limits_{0}^{1} \log{\left(\sqrt{y} + 1 \right)}\, dy$$ 
Integral(log(sqrt(y) + 1), (y, 0, 1))
The answer (Indefinite) [src] 
  /                                                                     
 |                                                                      
 |    /  ___    \            ___      /      ___\   y        /  ___    \
 | log\\/ y  + 1/ dy = C + \/ y  - log\1 + \/ y / - - + y*log\\/ y  + 1/
 |                                                  2                   
/
$$\int \log{\left(\sqrt{y} + 1 \right)}\, dy = C + \sqrt{y} + y \log{\left(\sqrt{y} + 1 \right)} - \frac{y}{2} - \log{\left(\sqrt{y} + 1 \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/2
$$\frac{1}{2}$$ 
=
= 
1/2
$$\frac{1}{2}$$ 
1/2
Numerical answer [src] 
0.5
0.5

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

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