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dx÷(3x+2)²+16
Solving integrals/ dx÷(3x+2)²+16

Integral of dx÷(3x+2)²+16 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |  /      1          \   
 |  |1*---------- + 16| dx
 |  |           2     |   
 |  \  (3*x + 2)      /   
 |                        
/                         
0
$$\int\limits_{0}^{1} \left(16 + 1 \cdot \frac{1}{\left(3 x + 2\right)^{2}}\right)\, dx$$ 
Integral(1/(3*x + 2)^2 + 16, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                               
 |                                                
 | /      1          \                      1     
 | |1*---------- + 16| dx = C + 16*x - -----------
 | |           2     |                 9*(2/3 + x)
 | \  (3*x + 2)      /                            
 |                                                
/
$$16\,x-{{1}\over{3\,\left(3\,x+2\right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
161
---
 10
$${{161}\over{10}}$$ 
=
= 
161
---
 10
$$\frac{161}{10}$$
Simplify
Numerical answer [src] 
16.1
16.1
The graph
Integral of dx÷(3x+2)²+16 dx

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

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