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  • Identical expressions

  • -cos(x)*e^(cos(zero .5x))*x*e^((-x^ two)/ two)/sqrt(two *PI)
  • minus co sinus of e of (x) multiply by e to the power of ( co sinus of e of (0.5x)) multiply by x multiply by e to the power of (( minus x squared ) divide by 2) divide by square root of (2 multiply by PI)
  • minus co sinus of e of (x) multiply by e to the power of ( co sinus of e of (zero .5x)) multiply by x multiply by e to the power of (( minus x to the power of two) divide by two) divide by square root of (two multiply by PI)
  • -cos(x)*e^(cos(0.5x))*x*e^((-x^2)/2)/√(2*PI)
  • -cos(x)*e(cos(0.5x))*x*e((-x2)/2)/sqrt(2*PI)
  • -cosx*ecos0.5x*x*e-x2/2/sqrt2*PI
  • -cos(x)*e^(cos(0.5x))*x*e^((-x²)/2)/sqrt(2*PI)
  • -cos(x)*e to the power of (cos(0.5x))*x*e to the power of ((-x to the power of 2)/2)/sqrt(2*PI)
  • -cos(x)e^(cos(0.5x))xe^((-x^2)/2)/sqrt(2PI)
  • -cos(x)e(cos(0.5x))xe((-x2)/2)/sqrt(2PI)
  • -cosxecos0.5xxe-x2/2/sqrt2PI
  • -cosxe^cos0.5xxe^-x^2/2/sqrt2PI
  • -cos(x)*e^(cos(0.5x))*x*e^((-x^2) divide by 2) divide by sqrt(2*PI)
  • -cos(x)*e^(cos(0.5x))*x*e^((-x^2)/2)/sqrt(2*PI)dx

  • Similar expressions

  • cos(x)*e^(cos(0.5x))*x*e^((-x^2)/2)/sqrt(2*PI)
  • -cos(x)*e^(cos(0.5x))*x*e^((x^2)/2)/sqrt(2*PI)
  • -cosx*e^(cos(0.5x))*x*e^((-x^2)/2)/sqrt(2*PI)
Solving integrals/ -cos(x)*e^(cos(0.5x))*x*e^((-x^2)/2)/sqrt(2*PI)

Integral of -cos(x)*e^(cos(0.5x))*x*e^((-x^2)/2)/sqrt(2*PI) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 4*pi                           
   /                            
  |                             
  |                        2    
  |               /x\    -x     
  |            cos|-|    ----   
  |               \2/     2     
  |   -cos(x)*E      *x*E       
  |   ----------------------- dx
  |             ______          
  |           \/ 2*pi           
  |                             
 /                              
-4*pi
$$\int\limits_{- 4 \pi}^{4 \pi} \frac{e^{\frac{\left(-1\right) x^{2}}{2}} x e^{\cos{\left(\frac{x}{2} \right)}} \left(- \cos{\left(x \right)}\right)}{\sqrt{2 \pi}}\, dx$$ 
Integral(((((-cos(x))*E^cos(x/2))*x)*E^((-x^2)/2))/sqrt(2*pi), (x, -4*pi, 4*pi))
Numerical answer [src] 
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