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e^(arccos(x))

Integral of e^(arccos(x)) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |   acos(x)   
 |  e        dx
 |             
/              
0              
$$\int\limits_{0}^{1} e^{\operatorname{acos}{\left(x \right)}}\, dx$$
Integral(E^acos(x), (x, 0, 1))
The answer (Indefinite) [src]
  /                                  ________         
 |                      acos(x)     /      2   acos(x)
 |  acos(x)          x*e          \/  1 - x  *e       
 | e        dx = C + ---------- - --------------------
 |                       2                 2          
/                                                     
$$\int e^{\operatorname{acos}{\left(x \right)}}\, dx = C + \frac{x e^{\operatorname{acos}{\left(x \right)}}}{2} - \frac{\sqrt{1 - x^{2}} e^{\operatorname{acos}{\left(x \right)}}}{2}$$
The graph
The answer [src]
     pi
     --
     2 
1   e  
- + ---
2    2 
$$\frac{1}{2} + \frac{e^{\frac{\pi}{2}}}{2}$$
=
=
     pi
     --
     2 
1   e  
- + ---
2    2 
$$\frac{1}{2} + \frac{e^{\frac{\pi}{2}}}{2}$$
Numerical answer [src]
2.90523869048268
2.90523869048268
The graph
Integral of e^(arccos(x)) dx

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