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Integral of sin(x)/sqrt(x^3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 oo           
  /           
 |            
 |   sin(x)   
 |  ------- dx
 |     ____   
 |    /  3    
 |  \/  x     
 |            
/             
0             
$$\int\limits_{0}^{\infty} \frac{\sin{\left(x \right)}}{\sqrt{x^{3}}}\, dx$$
Integral(sin(x)/(sqrt(x^3)), (x, 0, oo))
The answer (Indefinite) [src]
  /                   /          
 |                   |           
 |  sin(x)           |  sin(x)   
 | ------- dx = C +  | ------- dx
 |    ____           |    ____   
 |   /  3            |   /  3    
 | \/  x             | \/  x     
 |                   |           
/                   /            
$$-{{\left(\sqrt{2}\,i-\sqrt{2}\right)\,\Gamma\left(-{{1}\over{2}} , i\,x\right)+\left(-\sqrt{2}\,i-\sqrt{2}\right)\,\Gamma\left(-{{1 }\over{2}} , -i\,x\right)}\over{4}}$$
The answer [src]
  ___   ____
\/ 2 *\/ pi 
$$\sqrt{2} \sqrt{\pi}$$
=
=
  ___   ____
\/ 2 *\/ pi 
$$\sqrt{2} \sqrt{\pi}$$

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