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x/(sqrt(3-x^2))
Solving integrals/ x/(sqrt(3-x^2))

Integral of x/(sqrt(3-x^2)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |       x        
 |  ----------- dx
 |     ________   
 |    /      2    
 |  \/  3 - x     
 |                
/                 
0
$$\int\limits_{0}^{1} \frac{x}{\sqrt{3 - x^{2}}}\, dx$$ 
Integral(x/sqrt(3 - x^2), (x, 0, 1))
Detail solution

  1. Let .

    Then let and substitute :

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of a constant is the constant times the variable of integration:

      So, the result is:

    Now substitute back in:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                
 |                         ________
 |      x                 /      2 
 | ----------- dx = C - \/  3 - x  
 |    ________                     
 |   /      2                      
 | \/  3 - x                       
 |                                 
/
$$\int \frac{x}{\sqrt{3 - x^{2}}}\, dx = C - \sqrt{3 - x^{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  ___     ___
\/ 3  - \/ 2
$$- \sqrt{2} + \sqrt{3}$$ 
=
= 
  ___     ___
\/ 3  - \/ 2
$$- \sqrt{2} + \sqrt{3}$$ 
sqrt(3) - sqrt(2)
Numerical answer [src] 
0.317837245195782
0.317837245195782
The graph
Integral of x/(sqrt(3-x^2)) dx

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

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