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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  4                     
  /                     
 |                      
 |  /      _____    \   
 |  \1 + \/ 2*x  + 1/ dx
 |                      
/                       
0
$$\int\limits_{0}^{4} \left(\left(\sqrt{2 x} + 1\right) + 1\right)\, dx$$ 
Integral(1 + sqrt(2*x) + 1, (x, 0, 4))
Detail solution

  1. Integrate term-by-term:

    1. Integrate term-by-term:

      1. Don't know the steps in finding this integral.

        But the integral is

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

      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
 | /      _____    \                2*\/ 2 *x   
 | \1 + \/ 2*x  + 1/ dx = C + 2*x + ------------
 |                                       3      
/
$$\int \left(\left(\sqrt{2 x} + 1\right) + 1\right)\, dx = C + \frac{2 \sqrt{2} x^{\frac{3}{2}}}{3} + 2 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         ___
    16*\/ 2 
8 + --------
       3
$$\frac{16 \sqrt{2}}{3} + 8$$ 
=
= 
         ___
    16*\/ 2 
8 + --------
       3
$$\frac{16 \sqrt{2}}{3} + 8$$ 
8 + 16*sqrt(2)/3
Numerical answer [src] 
15.5424723326565
15.5424723326565

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

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