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Solving integrals/ 3*dx/sqrt(2*x+1)

Integral of 3*dx/sqrt(2*x+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  4               
  /               
 |                
 |       3        
 |  ----------- dx
 |    _________   
 |  \/ 2*x + 1    
 |                
/                 
0
$$\int\limits_{0}^{4} \frac{3}{\sqrt{2 x + 1}}\, dx$$ 
Integral(3/sqrt(2*x + 1), (x, 0, 4))
Detail solution

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

    1. Let .

      Then let and substitute :

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

      Now substitute back in:

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  
 |                                   
 |      3                   _________
 | ----------- dx = C + 3*\/ 2*x + 1 
 |   _________                       
 | \/ 2*x + 1                        
 |                                   
/
$$\int \frac{3}{\sqrt{2 x + 1}}\, dx = C + 3 \sqrt{2 x + 1}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
6
$$6$$ 
=
= 
6
$$6$$ 
6
Numerical answer [src] 
6.0
6.0

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

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