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Solving integrals/ (e^(arcsinx))arcsinx

Integral of (e^(arcsinx))arcsinx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                    
  /                    
 |                     
 |   asin(x)           
 |  E       *asin(x) dx
 |                     
/                      
0
∫01easin⁡(x)asin⁡(x) dx\int\limits_{0}^{1} e^{\operatorname{asin}{\left(x \right)}} \operatorname{asin}{\left(x \right)}\, dx 
Integral(E^asin(x)*asin(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                               ________                 
 |                              asin(x)              asin(x)     /      2           asin(x)
 |  asin(x)                  x*e          x*asin(x)*e          \/  1 - x  *asin(x)*e       
 | E       *asin(x) dx = C - ---------- + ------------------ + ----------------------------
 |                               2                2                         2              
/
∫easin⁡(x)asin⁡(x) dx=C+xeasin⁡(x)asin⁡(x)2−xeasin⁡(x)2+1−x2easin⁡(x)asin⁡(x)2\int e^{\operatorname{asin}{\left(x \right)}} \operatorname{asin}{\left(x \right)}\, dx = C + \frac{x e^{\operatorname{asin}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{2} - \frac{x e^{\operatorname{asin}{\left(x \right)}}}{2} + \frac{\sqrt{1 - x^{2}} e^{\operatorname{asin}{\left(x \right)}} \operatorname{asin}{\left(x \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
   pi       pi
   --       --
   2        2 
  e     pi*e  
- --- + ------
   2      4
−eπ22+πeπ24- \frac{e^{\frac{\pi}{2}}}{2} + \frac{\pi e^{\frac{\pi}{2}}}{4} 
=
= 
   pi       pi
   --       --
   2        2 
  e     pi*e  
- --- + ------
   2      4
−eπ22+πeπ24- \frac{e^{\frac{\pi}{2}}}{2} + \frac{\pi e^{\frac{\pi}{2}}}{4} 
-exp(pi/2)/2 + pi*exp(pi/2)/4
Numerical answer [src] 
1.37290140959248
1.37290140959248

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

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