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Solving integrals/ sin(log(x))/x^2

Integral of sin(log(x))/x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |  sin(log(x))   
 |  ----------- dx
 |        2       
 |       x        
 |                
/                 
0
∫01sin⁡(log⁡(x))x2 dx\int\limits_{0}^{1} \frac{\sin{\left(\log{\left(x \right)} \right)}}{x^{2}}\, dx 
Integral(sin(log(x))/x^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                              
 |                                               
 | sin(log(x))          cos(log(x))   sin(log(x))
 | ----------- dx = C - ----------- - -----------
 |       2                  2*x           2*x    
 |      x                                        
 |                                               
/
∫sin⁡(log⁡(x))x2 dx=C−sin⁡(log⁡(x))2x−cos⁡(log⁡(x))2x\int \frac{\sin{\left(\log{\left(x \right)} \right)}}{x^{2}}\, dx = C - \frac{\sin{\left(\log{\left(x \right)} \right)}}{2 x} - \frac{\cos{\left(\log{\left(x \right)} \right)}}{2 x}
Simplify
The answer [src] 
<-oo, oo>
⟨−∞,∞⟩\left\langle -\infty, \infty\right\rangle 
=
= 
<-oo, oo>
⟨−∞,∞⟩\left\langle -\infty, \infty\right\rangle 
AccumBounds(-oo, oo)
Numerical answer [src] 
6.53345578484722e+18
6.53345578484722e+18

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

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