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Solving integrals/ dx/sqrt(5+x)

Integral of dx/sqrt(5+x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  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:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                              
 |                               
 |     1                  _______
 | --------- dx = C + 2*\/ 5 + x 
 |   _______                     
 | \/ 5 + x                      
 |                               
/
$$\int \frac{1}{\sqrt{x + 5}}\, dx = C + 2 \sqrt{x + 5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      ___       ___
- 2*\/ 5  + 2*\/ 6
$$- 2 \sqrt{5} + 2 \sqrt{6}$$ 
=
= 
      ___       ___
- 2*\/ 5  + 2*\/ 6
$$- 2 \sqrt{5} + 2 \sqrt{6}$$ 
-2*sqrt(5) + 2*sqrt(6)
Numerical answer [src] 
0.426843530566777
0.426843530566777

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

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