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arcsinx/x^2
Solving integrals/ arcsinx/x^2

Integral of arcsinx/x^2 dx

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The solution

You have entered [src] 
  1           
  /           
 |            
 |  asin(x)   
 |  ------- dx
 |      2     
 |     x      
 |            
/             
0
∫01asin⁡(x)x2 dx\int\limits_{0}^{1} \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\, dx 
Integral(asin(x)/x^2, (x, 0, 1))
The answer (Indefinite) [src] 
                              //      /1\       1      \
  /                           ||-acosh|-|  for ---- > 1|
 |                            ||      \x/      | 2|    |
 | asin(x)          asin(x)   ||               |x |    |
 | ------- dx = C - ------- + |<                       |
 |     2               x      ||      /1\              |
 |    x                       ||I*asin|-|   otherwise  |
 |                            ||      \x/              |
/                             \\                       /
∫asin⁡(x)x2 dx=C+{−acosh⁡(1x)for 1∣x2∣>1iasin⁡(1x)otherwise−asin⁡(x)x\int \frac{\operatorname{asin}{\left(x \right)}}{x^{2}}\, dx = C + \begin{cases} - \operatorname{acosh}{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{x} \right)} & \text{otherwise} \end{cases} - \frac{\operatorname{asin}{\left(x \right)}}{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1000010000
Plot the graph f(x)
Numerical answer [src] 
44.2127969877579
44.2127969877579
The graph
Integral of arcsinx/x^2 dx

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

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