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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  4                   
  /                   
 |                    
 |  /        _____\   
 |  \1.0 + \/ 2*x / dx
 |                    
/                     
0
$$\int\limits_{0}^{4} \left(\sqrt{2 x} + 1.0\right)\, dx$$ 
Integral(1.0 + sqrt(2*x), (x, 0, 4))
Detail solution

  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:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                             
 |                                      ___  3/2
 | /        _____\                  2*\/ 2 *x   
 | \1.0 + \/ 2*x / dx = C + 1.0*x + ------------
 |                                       3      
/
$$\int \left(\sqrt{2 x} + 1.0\right)\, dx = C + \frac{2 \sqrt{2} x^{\frac{3}{2}}}{3} + 1.0 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
           ___
      16*\/ 2 
4.0 + --------
         3
$$4.0 + \frac{16 \sqrt{2}}{3}$$ 
=
= 
           ___
      16*\/ 2 
4.0 + --------
         3
$$4.0 + \frac{16 \sqrt{2}}{3}$$ 
4.0 + 16*sqrt(2)/3
Numerical answer [src] 
11.5424723326565
11.5424723326565

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

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