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Identical expressions
two /(sqrt(x^ two +4x+ three))
2 divide by ( square root of (x squared plus 4x plus 3))
two divide by ( square root of (x to the power of two plus 4x plus three))
2/(√(x^2+4x+3))
2/(sqrt(x2+4x+3))
2/sqrtx2+4x+3
2/(sqrt(x²+4x+3))
2/(sqrt(x to the power of 2+4x+3))
2/sqrtx^2+4x+3
2 divide by (sqrt(x^2+4x+3))
2/(sqrt(x^2+4x+3))dx
Similar expressions
2/(sqrt(x^2+4x-3))
2/(sqrt(x^2-4x+3))

Integral of 2/(sqrt(x^2+4x+3)) dx

The solution

You have entered [src]

  1                     
  /                     
 |                      
 |          2           
 |  ----------------- dx
 |     ______________   
 |    /  2              
 |  \/  x  + 4*x + 3    
 |                      
/                       
0

$$\int\limits_{0}^{1} \frac{2}{\sqrt{\left(x^{2} + 4 x\right) + 3}}\, dx$$

Integral(2/sqrt(x^2 + 4*x + 3), (x, 0, 1))

Detail solution

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

$\int \frac{2}{\sqrt{\left(x^{2} + 4 x\right) + 3}}\, dx = 2 \int \frac{1}{\sqrt{\left(x^{2} + 4 x\right) + 3}}\, dx$
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $\int \frac{1}{\sqrt{\left(x^{2} + 4 x\right) + 3}}\, dx$
So, the result is: $2 \int \frac{1}{\sqrt{\left(x^{2} + 4 x\right) + 3}}\, dx$
Now simplify:

$2 \int \frac{1}{\sqrt{x^{2} + 4 x + 3}}\, dx$
Add the constant of integration:

$2 \int \frac{1}{\sqrt{x^{2} + 4 x + 3}}\, dx+ \mathrm{constant}$

The answer is:

$2 \int \frac{1}{\sqrt{x^{2} + 4 x + 3}}\, dx+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                               /                    
 |                               |                     
 |         2                     |         1           
 | ----------------- dx = C + 2* | ----------------- dx
 |    ______________             |    ______________   
 |   /  2                        |   /  2              
 | \/  x  + 4*x + 3              | \/  x  + 4*x + 3    
 |                               |                     
/                               /

$$\int \frac{2}{\sqrt{\left(x^{2} + 4 x\right) + 3}}\, dx = C + 2 \int \frac{1}{\sqrt{\left(x^{2} + 4 x\right) + 3}}\, dx$$

Simplify

The answer [src]

    1                       
    /                       
   |                        
   |           1            
2* |  ------------------- dx
   |    _______   _______   
   |  \/ 1 + x *\/ 3 + x    
   |                        
  /                         
  0

$$2 \int\limits_{0}^{1} \frac{1}{\sqrt{x + 1} \sqrt{x + 3}}\, dx$$

    1                       
    /                       
   |                        
   |           1            
2* |  ------------------- dx
   |    _______   _______   
   |  \/ 1 + x *\/ 3 + x    
   |                        
  /                         
  0

$$2 \int\limits_{0}^{1} \frac{1}{\sqrt{x + 1} \sqrt{x + 3}}\, dx$$

2*Integral(1/(sqrt(1 + x)*sqrt(3 + x)), (x, 0, 1))

Numerical answer [src]

0.891578554228539

0.891578554228539

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

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Identical expressions

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Integral of 2/(sqrt(x^2+4x+3)) dx

Limits of integration:

The graph:

Piecewise:

The solution