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5sqrt(8-3x)^6

Integral of 5sqrt(8-3x)^6 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                  
  /                  
 |                   
 |               6   
 |      _________    
 |  5*\/ 8 - 3*x   dx
 |                   
/                    
0                    
$$\int\limits_{0}^{1} 5 \left(\sqrt{- 3 x + 8}\right)^{6}\, dx$$
Integral(5*(sqrt(8 - 3*x))^6, (x, 0, 1))
The answer (Indefinite) [src]
  /                                    
 |                                     
 |              6                     4
 |     _________           5*(8 - 3*x) 
 | 5*\/ 8 - 3*x   dx = C - ------------
 |                              12     
/                                      
$$5\,\left(-{{27\,x^4}\over{4}}+72\,x^3-288\,x^2+512\,x\right)$$
The graph
The answer [src]
5785/4
$${{5785}\over{4}}$$
=
=
5785/4
$$\frac{5785}{4}$$
Numerical answer [src]
1446.25
1446.25
The graph
Integral of 5sqrt(8-3x)^6 dx

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