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Solving integrals/ (3+sqrt(x))/(x+2)

Integral of (3+sqrt(x))/(x+2) dx

Limits of integration:

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v

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Piecewise:

The solution

You have entered [src] 
 oo             
  /             
 |              
 |        ___   
 |  3 + \/ x    
 |  --------- dx
 |    x + 2     
 |              
/               
0
$$\int\limits_{0}^{\infty} \frac{\sqrt{x} + 3}{x + 2}\, dx$$ 
Integral((3 + sqrt(x))/(x + 2), (x, 0, oo))
The answer (Indefinite) [src] 
  /                                                                     
 |                                                                      
 |       ___                                               /  ___   ___\
 | 3 + \/ x               ___                      ___     |\/ 2 *\/ x |
 | --------- dx = C + 2*\/ x  + 3*log(2 + x) - 2*\/ 2 *atan|-----------|
 |   x + 2                                                 \     2     /
 |                                                                      
/
$$\int \frac{\sqrt{x} + 3}{x + 2}\, dx = C + 2 \sqrt{x} + 3 \log{\left(x + 2 \right)} - 2 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \sqrt{x}}{2} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo

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

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