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sqrtx+sqrtx+1

Integral of sqrtx+sqrtx+1 dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

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  1                       
  /                       
 |                        
 |  /  ___     ___    \   
 |  \\/ x  + \/ x  + 1/ dx
 |                        
/                         
0                         
$$\int\limits_{0}^{1} \left(\left(\sqrt{x} + \sqrt{x}\right) + 1\right)\, dx$$
Integral(sqrt(x) + sqrt(x) + 1, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. Integrate term-by-term:

      1. The integral of is when :

      1. The integral of is when :

      The result is:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                       
 |                                     3/2
 | /  ___     ___    \              4*x   
 | \\/ x  + \/ x  + 1/ dx = C + x + ------
 |                                    3   
/                                         
$$\int \left(\left(\sqrt{x} + \sqrt{x}\right) + 1\right)\, dx = C + \frac{4 x^{\frac{3}{2}}}{3} + x$$
The graph
The answer [src]
7/3
$$\frac{7}{3}$$
=
=
7/3
$$\frac{7}{3}$$
7/3
Numerical answer [src]
2.33333333333333
2.33333333333333
The graph
Integral of sqrtx+sqrtx+1 dx

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