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(√(1-x^2))/x
Solving integrals/ (√(1-x^2))/x

Integral of (√(1-x^2))/x dx

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The solution

You have entered [src] 
  1               
  /               
 |                
 |     ________   
 |    /      2    
 |  \/  1 - x     
 |  ----------- dx
 |       x        
 |                
/                 
0
∫011−x2x dx\int\limits_{0}^{1} \frac{\sqrt{1 - x^{2}}}{x}\, dx 
Integral(sqrt(1 - x^2)/x, (x, 0, 1))
The answer (Indefinite) [src] 
                        //       /1\          1                 x              1      \
                        ||- acosh|-| + ---------------- - --------------  for ---- > 1|
  /                     ||       \x/          _________        _________      | 2|    |
 |                      ||                   /      1         /      1        |x |    |
 |    ________          ||             x*   /  -1 + --       /  -1 + --               |
 |   /      2           ||                 /         2      /         2               |
 | \/  1 - x            ||               \/         x     \/         x                |
 | ----------- dx = C + |<                                                            |
 |      x               ||       /1\        I*x               I                       |
 |                      || I*asin|-| + ------------- - ---------------     otherwise  |
/                       ||       \x/        ________          ________                |
                        ||                 /     1           /     1                  |
                        ||                /  1 - --    x*   /  1 - --                 |
                        ||               /        2        /        2                 |
                        \\             \/        x       \/        x                  /
∫1−x2x dx=C+{−x−1+1x2−acosh⁡(1x)+1x−1+1x2for 1∣x2∣>1ix1−1x2+iasin⁡(1x)−ix1−1x2otherwise\int \frac{\sqrt{1 - x^{2}}}{x}\, dx = C + \begin{cases} - \frac{x}{\sqrt{-1 + \frac{1}{x^{2}}}} - \operatorname{acosh}{\left(\frac{1}{x} \right)} + \frac{1}{x \sqrt{-1 + \frac{1}{x^{2}}}} & \text{for}\: \frac{1}{\left|{x^{2}}\right|} > 1 \\\frac{i x}{\sqrt{1 - \frac{1}{x^{2}}}} + i \operatorname{asin}{\left(\frac{1}{x} \right)} - \frac{i}{x \sqrt{1 - \frac{1}{x^{2}}}} & \text{otherwise} \end{cases}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1000010000
Plot the graph f(x)
The answer [src] 
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∞\infty 
=
= 
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∞\infty 
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Numerical answer [src] 
43.7835933145528
43.7835933145528
The graph
Integral of (√(1-x^2))/x dx

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

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