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Solving integrals/ sin(10x)/x

Integral of sin(10x)/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo             
  /             
 |              
 |  sin(10*x)   
 |  --------- dx
 |      x       
 |              
/               
a
∫a∞sin⁡(10x)x dx\int\limits_{a}^{\infty} \frac{\sin{\left(10 x \right)}}{x}\, dx 
Integral(sin(10*x)/x, (x, a, oo))
Detail solution

    SiRule(a=10, b=0, context=sin(10*x)/x, symbol=x)

  1. Add the constant of integration:

    Si⁡(10x)+constant\operatorname{Si}{\left(10 x \right)}+ \mathrm{constant}

The answer is:

Si⁡(10x)+constant\operatorname{Si}{\left(10 x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                           
 |                            
 | sin(10*x)                  
 | --------- dx = C + Si(10*x)
 |     x                      
 |                            
/
∫sin⁡(10x)x dx=C+Si⁡(10x)\int \frac{\sin{\left(10 x \right)}}{x}\, dx = C + \operatorname{Si}{\left(10 x \right)}
Simplify
The answer [src] 
pi           
-- - Si(10*a)
2
−Si⁡(10a)+π2- \operatorname{Si}{\left(10 a \right)} + \frac{\pi}{2} 
=
= 
pi           
-- - Si(10*a)
2
−Si⁡(10a)+π2- \operatorname{Si}{\left(10 a \right)} + \frac{\pi}{2} 
pi/2 - Si(10*a)

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

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