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x*sqrt(x+3)
Solving integrals/ x*sqrt(x+3)

Integral of x*sqrt(x+3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |      _______   
 |  x*\/ x + 3  dx
 |                
/                 
0
∫01xx+3 dx\int\limits_{0}^{1} x \sqrt{x + 3}\, dx 
Integral(x*sqrt(x + 3), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                
 |                                              5/2
 |     _______                   3/2   2*(3 + x)   
 | x*\/ x + 3  dx = C - 2*(3 + x)    + ------------
 |                                          5      
/
∫xx+3 dx=C+2(x+3)525−2(x+3)32\int x \sqrt{x + 3}\, dx = C + \frac{2 \left(x + 3\right)^{\frac{5}{2}}}{5} - 2 \left(x + 3\right)^{\frac{3}{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.905-5
Plot the graph f(x)
The answer [src] 
            ___
  16   12*\/ 3 
- -- + --------
  5       5
−165+1235- \frac{16}{5} + \frac{12 \sqrt{3}}{5} 
=
= 
            ___
  16   12*\/ 3 
- -- + --------
  5       5
−165+1235- \frac{16}{5} + \frac{12 \sqrt{3}}{5} 
-16/5 + 12*sqrt(3)/5
Numerical answer [src] 
0.956921938165305
0.956921938165305
The graph
Integral of x*sqrt(x+3) dx

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

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