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Solving integrals/ 1/(5x-2)^5/2

Integral of 1/(5x-2)^5/2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |       1         
 |  ------------ dx
 |           5     
 |  (5*x - 2) *2   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{1}{2 \left(5 x - 2\right)^{5}}\, dx$$ 
Integral(1/((5*x - 2)^5*2), (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                                                       
 |                                                                        
 |      1                                        1                        
 | ------------ dx = C - -------------------------------------------------
 |          5              /             3                   2          4\
 | (5*x - 2) *2          2*\320 - 20000*x  - 3200*x + 12000*x  + 12500*x /
 |                                                                        
/
$$\int \frac{1}{2 \left(5 x - 2\right)^{5}}\, dx = C - \frac{1}{2 \left(12500 x^{4} - 20000 x^{3} + 12000 x^{2} - 3200 x + 320\right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
nan
$$\text{NaN}$$ 
=
= 
nan
$$\text{NaN}$$ 
nan
Numerical answer [src] 
10619507.691217
10619507.691217

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

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