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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

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

      But the integral is

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                   
 |                                    
 | /         1   \            ___    2
 | |2*x + -------| dx = C + \/ x  + x 
 | |          ___|                    
 | \      2*\/ x /                    
 |                                    
/
$$\int \left(2 x + \frac{1}{2 \sqrt{x}}\right)\, dx = C + \sqrt{x} + x^{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2
$$2$$ 
=
= 
2
$$2$$ 
2
Numerical answer [src] 
1.99999999973471
1.99999999973471

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

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