Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of 4*x*exp(x^2)
Integral of x(x-1)(x-2)
Integral of x^-5
Integral of sin^3
Identical expressions
sin(ln(x))/(x)^(one / two)
sinus of (ln(x)) divide by (x) to the power of (1 divide by 2)
sinus of (ln(x)) divide by (x) to the power of (one divide by two)
sin(ln(x))/(x)(1/2)
sinlnx/x1/2
sinlnx/x^1/2
sin(ln(x)) divide by (x)^(1 divide by 2)
sin(ln(x))/(x)^(1/2)dx

Integral of sin(ln(x))/(x)^(1/2) dx

The solution

You have entered [src]

 oo               
  /               
 |                
 |  sin(log(x))   
 |  ----------- dx
 |       ___      
 |     \/ x       
 |                
/                 
0

\int\limits_{0}^{\infty} \frac{\sin{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\, dx

Integral(sin(log(x))/sqrt(x), (x, 0, oo))

The answer (Indefinite) [src]

  /                                                              
 |                          ___                   ___            
 | sin(log(x))          4*\/ x *cos(log(x))   2*\/ x *sin(log(x))
 | ----------- dx = C - ------------------- + -------------------
 |      ___                      5                     5         
 |    \/ x                                                       
 |                                                               
/

\int \frac{\sin{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\, dx = C + \frac{2 \sqrt{x} \sin{\left(\log{\left(x \right)} \right)}}{5} - \frac{4 \sqrt{x} \cos{\left(\log{\left(x \right)} \right)}}{5}

Simplify

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

Other calculators

How to use it?

Identical expressions

Integral of sin(ln(x))/(x)^(1/2) dx

Limits of integration:

The graph:

Piecewise:

The solution