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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                 |\/ -4 + x |       ________
 | --------- dx = C - 4*atan|----------| + 2*\/ -4 + x 
 |     x                    \    2     /               
 |                                                     
/                                                      
$$\int \frac{\sqrt{x - 4}}{x}\, dx = C + 2 \sqrt{x - 4} - 4 \operatorname{atan}{\left(\frac{\sqrt{x - 4}}{2} \right)}$$
The graph
The answer [src]
                            ___
oo*I - 4*I*acosh(2) + 2*I*\/ 3 
$$- 4 i \operatorname{acosh}{\left(2 \right)} + 2 \sqrt{3} i + \infty i$$
=
=
                            ___
oo*I - 4*I*acosh(2) + 2*I*\/ 3 
$$- 4 i \operatorname{acosh}{\left(2 \right)} + 2 \sqrt{3} i + \infty i$$
oo*i - 4*i*acosh(2) + 2*i*sqrt(3)
Numerical answer [src]
(0.0 + 87.9223397399038j)
(0.0 + 87.9223397399038j)
The graph
Integral of sqrt(x-4)/x dx

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