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Identical expressions
(two x+ three)/(((x+ one)^2))
(2x plus 3) divide by (((x plus 1) squared ))
(two x plus three) divide by (((x plus one) squared ))
(2x+3)/(((x+1)2))
2x+3/x+12
(2x+3)/(((x+1)²))
(2x+3)/(((x+1) to the power of 2))
2x+3/x+1^2
(2x+3) divide by (((x+1)^2))
(2x+3)/(((x+1)^2))dx
Similar expressions
(2x-3)/(((x+1)^2))
(2x+3)/(((x-1)^2))

Integral of (2x+3)/(((x+1)^2)) dx

The solution

You have entered [src]

  1            
  /            
 |             
 |  2*x + 3    
 |  -------- dx
 |         2   
 |  (x + 1)    
 |             
/              
0

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

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

The answer (Indefinite) [src]

  /                                      
 |                                       
 | 2*x + 3             1                 
 | -------- dx = C - ----- + 2*log(1 + x)
 |        2          1 + x               
 | (x + 1)                               
 |                                       
/

\int \frac{2 x + 3}{\left(x + 1\right)^{2}}\, dx = C + 2 \log{\left(x + 1 \right)} - \frac{1}{x + 1}

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/2 + 2*log(2)

\frac{1}{2} + 2 \log{\left(2 \right)}

1/2 + 2*log(2)

\frac{1}{2} + 2 \log{\left(2 \right)}

1/2 + 2*log(2)

Numerical answer [src]

1.88629436111989

1.88629436111989

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

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Identical expressions

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Integral of (2x+3)/(((x+1)^2)) dx

Limits of integration:

The graph:

Piecewise:

The solution