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  • Integral of d{x}:
  • Integral of k Integral of k
  • Integral of -y Integral of -y
  • Integral of x*e^(2*x)*dx Integral of x*e^(2*x)*dx
  • Integral of (1-x^2)^(1/2) Integral of (1-x^2)^(1/2)

  • Identical expressions

  • x^(one / two)*(ln(x))^ two /(lnx*(x^ two +(sinx)*ln(x)))
  • x to the power of (1 divide by 2) multiply by (ln(x)) squared divide by (lnx multiply by (x squared plus ( sinus of x) multiply by ln(x)))
  • x to the power of (one divide by two) multiply by (ln(x)) to the power of two divide by (lnx multiply by (x to the power of two plus ( sinus of x) multiply by ln(x)))
  • x(1/2)*(ln(x))2/(lnx*(x2+(sinx)*ln(x)))
  • x1/2*lnx2/lnx*x2+sinx*lnx
  • x^(1/2)*(ln(x))²/(lnx*(x²+(sinx)*ln(x)))
  • x to the power of (1/2)*(ln(x)) to the power of 2/(lnx*(x to the power of 2+(sinx)*ln(x)))
  • x^(1/2)(ln(x))^2/(lnx(x^2+(sinx)ln(x)))
  • x(1/2)(ln(x))2/(lnx(x2+(sinx)ln(x)))
  • x1/2lnx2/lnxx2+sinxlnx
  • x^1/2lnx^2/lnxx^2+sinxlnx
  • x^(1 divide by 2)*(ln(x))^2 divide by (lnx*(x^2+(sinx)*ln(x)))
  • x^(1/2)*(ln(x))^2/(lnx*(x^2+(sinx)*ln(x)))dx

  • Similar expressions

  • x^(1/2)*(ln(x))^2/(lnx*(x^2-(sinx)*ln(x)))
Solving integrals/ x^(1/2)*(ln(x))^2/(lnx*(x^2+(sinx)*ln(x)))

Integral of x^(1/2)*(ln(x))^2/(lnx*(x^2+(sinx)*ln(x))) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo                               
  /                               
 |                                
 |           ___    2             
 |         \/ x *log (x)          
 |  --------------------------- dx
 |         / 2                \   
 |  log(x)*\x  + sin(x)*log(x)/   
 |                                
/                                 
0
$$\int\limits_{0}^{\infty} \frac{\sqrt{x} \log{\left(x \right)}^{2}}{\left(x^{2} + \log{\left(x \right)} \sin{\left(x \right)}\right) \log{\left(x \right)}}\, dx$$ 
Integral((sqrt(x)*log(x)^2)/((log(x)*(x^2 + sin(x)*log(x)))), (x, 0, oo))

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

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