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Solving integrals/ 1/√4x-5dx

Integral of 1/√4x-5dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |  /   1       \   
 |  |------- - 5| dx
 |  |  _____    |   
 |  \\/ 4*x     /   
 |                  
/                   
0
$$\int\limits_{0}^{1} \left(-5 + \frac{1}{\sqrt{4 x}}\right)\, dx$$ 
Integral(1/(sqrt(4*x)) - 5, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

    1. Let .

      Then let and substitute :

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

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

        So, the result is:

      Now substitute back in:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                    
 |                                  ___
 | /   1       \                2*\/ x 
 | |------- - 5| dx = C - 5*x + -------
 | |  _____    |                   2   
 | \\/ 4*x     /                       
 |                                     
/
$$\int \left(-5 + \frac{1}{\sqrt{4 x}}\right)\, dx = C + \frac{2 \sqrt{x}}{2} - 5 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-4
$$-4$$ 
=
= 
-4
$$-4$$ 
-4
Numerical answer [src] 
-4.00000000033494
-4.00000000033494

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

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