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(arcsinx)^2

Integral of (arcsinx)^2 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1            
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 |      2      
 |  asin (x) dx
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0              
$$\int\limits_{0}^{1} \operatorname{asin}^{2}{\left(x \right)}\, dx$$
Integral(asin(x)^2, (x, 0, 1))
The answer (Indefinite) [src]
  /                                                          
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 |     2                         2          /      2         
 | asin (x) dx = C - 2*x + x*asin (x) + 2*\/  1 - x  *asin(x)
 |                                                           
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$$\int \operatorname{asin}^{2}{\left(x \right)}\, dx = C + x \operatorname{asin}^{2}{\left(x \right)} - 2 x + 2 \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}$$
The graph
The answer [src]
       2
     pi 
-2 + ---
      4 
$$-2 + \frac{\pi^{2}}{4}$$
=
=
       2
     pi 
-2 + ---
      4 
$$-2 + \frac{\pi^{2}}{4}$$
-2 + pi^2/4
Numerical answer [src]
0.46740110027234
0.46740110027234
The graph
Integral of (arcsinx)^2 dx

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