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root(3*x-2,8)^5
Solving integrals/ root(3*x-2,8)^5

Integral of root(3*x-2,8)^5 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |                5   
 |    ____________    
 |  \/ 3*x - 14/5   dx
 |                    
/                     
0
$$\int\limits_{0}^{1} \left(\sqrt{3 x - \frac{14}{5}}\right)^{5}\, dx$$ 
Integral((sqrt(3*x - 1*14/5))^5, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                           
 |                                            
 |               5                         7/2
 |   ____________           2*(-14/5 + 3*x)   
 | \/ 3*x - 14/5   dx = C + ------------------
 |                                  21        
/
$${{2\,\left(3\,x-{{14}\over{5}}\right)^{{{7}\over{2}}}}\over{21}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
    ___           ____
2*\/ 5    784*I*\/ 70 
------- + ------------
 13125        1875
$${{4\,14^{{{5}\over{2}}}\,i}\over{3\,5^{{{7}\over{2}}}}}+{{2}\over{ 21\,5^{{{7}\over{2}}}}}$$ 
=
= 
    ___           ____
2*\/ 5    784*I*\/ 70 
------- + ------------
 13125        1875
$$\frac{2 \sqrt{5}}{13125} + \frac{784 \sqrt{70} i}{1875}$$
Simplify
Numerical answer [src] 
(0.000340734058224828 + 3.49835445831207j)
(0.000340734058224828 + 3.49835445831207j)
The graph
Integral of root(3*x-2,8)^5 dx

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

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