Mister Exam

Other calculators


sqrt(x+4)/x

Integral of sqrt(x+4)/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |    _______   
 |  \/ x + 4    
 |  --------- dx
 |      x       
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{\sqrt{x + 4}}{x}\, dx$$
Integral(sqrt(x + 4)/x, (x, 0, 1))
The answer (Indefinite) [src]
  /                                                                             
 |                                                                              
 |   _______                                                                    
 | \/ x + 4                /      _______\       _______        /       _______\
 | --------- dx = C - 2*log\2 + \/ 4 + x / + 2*\/ 4 + x  + 2*log\-2 + \/ 4 + x /
 |     x                                                                        
 |                                                                              
/                                                                               
$$\int \frac{\sqrt{x + 4}}{x}\, dx = C + 2 \sqrt{x + 4} + 2 \log{\left(\sqrt{x + 4} - 2 \right)} - 2 \log{\left(\sqrt{x + 4} + 2 \right)}$$
The graph
The answer [src]
            /  ___\
            |\/ 5 |
oo - 4*acoth|-----|
            \  2  /
$$- 4 \operatorname{acoth}{\left(\frac{\sqrt{5}}{2} \right)} + \infty$$
=
=
            /  ___\
            |\/ 5 |
oo - 4*acoth|-----|
            \  2  /
$$- 4 \operatorname{acoth}{\left(\frac{\sqrt{5}}{2} \right)} + \infty$$
oo - 4*acoth(sqrt(5)/2)
Numerical answer [src]
88.4236637667497
88.4236637667497
The graph
Integral of sqrt(x+4)/x dx

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