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(arccosx^3)dx

Integral of (arccosx^3)dx 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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 |      3        
 |  acos (x)*1 dx
 |               
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0                
01acos3(x)1dx\int\limits_{0}^{1} \operatorname{acos}^{3}{\left(x \right)} 1\, dx
Integral(acos(x)^3*1, (x, 0, 1))
The answer (Indefinite) [src]
  /                                                                                     
 |                          ________                                   ________         
 |     3                   /      2          3                        /      2      2   
 | acos (x)*1 dx = C + 6*\/  1 - x   + x*acos (x) - 6*x*acos(x) - 3*\/  1 - x  *acos (x)
 |                                                                                      
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xarccos3x31x2arccos2x6(xarccosx1x2)x\,\arccos ^3x-3\,\sqrt{1-x^2}\,\arccos ^2x-6\,\left(x\,\arccos x- \sqrt{1-x^2}\right)
The graph
0.001.000.100.200.300.400.500.600.700.800.905-5
The answer [src]
         2
     3*pi 
-6 + -----
       4  
3π2244{{3\,\pi^2-24}\over{4}}
=
=
         2
     3*pi 
-6 + -----
       4  
6+3π24-6 + \frac{3 \pi^{2}}{4}
Numerical answer [src]
1.40220330081702
1.40220330081702
The graph
Integral of (arccosx^3)dx dx

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