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(x+1)sqrt(2x+1)
Solving integrals/ (x+1)sqrt(2x+1)

Integral of (x+1)sqrt(2x+1) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                       
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 |            _________   
 |  (x + 1)*\/ 2*x + 1  dx
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0
∫01(x+1)2x+1 dx\int\limits_{0}^{1} \left(x + 1\right) \sqrt{2 x + 1}\, dx 
Integral((x + 1)*sqrt(2*x + 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                        
 |                                       3/2            5/2
 |           _________          (1 + 2*x)      (1 + 2*x)   
 | (x + 1)*\/ 2*x + 1  dx = C + ------------ + ------------
 |                                   6              10     
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∫(x+1)2x+1 dx=C+(2x+1)5210+(2x+1)326\int \left(x + 1\right) \sqrt{2 x + 1}\, dx = C + \frac{\left(2 x + 1\right)^{\frac{5}{2}}}{10} + \frac{\left(2 x + 1\right)^{\frac{3}{2}}}{6}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
           ___
  4    7*\/ 3 
- -- + -------
  15      5
−415+735- \frac{4}{15} + \frac{7 \sqrt{3}}{5} 
=
= 
           ___
  4    7*\/ 3 
- -- + -------
  15      5
−415+735- \frac{4}{15} + \frac{7 \sqrt{3}}{5} 
-4/15 + 7*sqrt(3)/5
Numerical answer [src] 
2.15820446392976
2.15820446392976
The graph
Integral of (x+1)sqrt(2x+1) dx

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

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