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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
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |            _________   
 |  (x + 1)*\/ 2*x + 1  dx
 |                        
/                         
0
$$\int\limits_{0}^{1} \left(x + 1\right) \sqrt{2 x + 1}\, dx$$ 
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     
/
$$\int \left(x + 1\right) \sqrt{2 x + 1}\, dx = C + \frac{\left(2 x + 1\right)^{\frac{5}{2}}}{10} + \frac{\left(2 x + 1\right)^{\frac{3}{2}}}{6}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
           ___
  4    7*\/ 3 
- -- + -------
  15      5
$$- \frac{4}{15} + \frac{7 \sqrt{3}}{5}$$ 
=
= 
           ___
  4    7*\/ 3 
- -- + -------
  15      5
$$- \frac{4}{15} + \frac{7 \sqrt{3}}{5}$$ 
-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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