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Solving integrals/ sqrt(4x+1)^3

Integral of sqrt(4x+1)^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |             3   
 |    _________    
 |  \/ 4*x + 1   dx
 |                 
/                  
0
∫01(4x+1)3 dx\int\limits_{0}^{1} \left(\sqrt{4 x + 1}\right)^{3}\, dx 
Integral((sqrt(4*x + 1))^3, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                  
 |                                   
 |            3                   5/2
 |   _________           (4*x + 1)   
 | \/ 4*x + 1   dx = C + ------------
 |                            10     
/
∫(4x+1)3 dx=C+(4x+1)5210\int \left(\sqrt{4 x + 1}\right)^{3}\, dx = C + \frac{\left(4 x + 1\right)^{\frac{5}{2}}}{10}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90020
Plot the graph f(x)
The answer [src] 
           ___
  1    5*\/ 5 
- -- + -------
  10      2
−110+552- \frac{1}{10} + \frac{5 \sqrt{5}}{2} 
=
= 
           ___
  1    5*\/ 5 
- -- + -------
  10      2
−110+552- \frac{1}{10} + \frac{5 \sqrt{5}}{2} 
-1/10 + 5*sqrt(5)/2
Numerical answer [src] 
5.49016994374947
5.49016994374947

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

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