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Identical expressions
(-8dx)/(x+ three)^ three
( minus 8dx) divide by (x plus 3) cubed
( minus 8dx) divide by (x plus three) to the power of three
(-8dx)/(x+3)3
-8dx/x+33
(-8dx)/(x+3)³
(-8dx)/(x+3) to the power of 3
-8dx/x+3^3
(-8dx) divide by (x+3)^3
Similar expressions
(-8dx)/(x-3)^3
(8dx)/(x+3)^3

Integral of (-8dx)/(x+3)^3 dx

The solution

You have entered [src]

  1            
  /            
 |             
 |    -8       
 |  -------- dx
 |         3   
 |  (x + 3)    
 |             
/              
0

$$\int\limits_{0}^{1} \left(- \frac{8}{\left(x + 3\right)^{3}}\right)\, dx$$

Integral(-8/(x + 3)^3, (x, 0, 1))

Detail solution

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

$\int \left(- \frac{8}{\left(x + 3\right)^{3}}\right)\, dx = - 8 \int \frac{1}{\left(x + 3\right)^{3}}\, dx$
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $- \frac{1}{2 x^{2} + 12 x + 18}$
So, the result is: $\frac{8}{2 x^{2} + 12 x + 18}$
Now simplify:

$\frac{4}{x^{2} + 6 x + 9}$
Add the constant of integration:

$\frac{4}{x^{2} + 6 x + 9}+ \mathrm{constant}$

The answer is:

$\frac{4}{x^{2} + 6 x + 9}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                  
 |                                   
 |   -8                     8        
 | -------- dx = C + ----------------
 |        3                  2       
 | (x + 3)           18 + 2*x  + 12*x
 |                                   
/

$$\int \left(- \frac{8}{\left(x + 3\right)^{3}}\right)\, dx = C + \frac{8}{2 x^{2} + 12 x + 18}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-7/36

$$- \frac{7}{36}$$

-7/36

$$- \frac{7}{36}$$

-7/36

Numerical answer [src]

-0.194444444444444

-0.194444444444444

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

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Identical expressions

Similar expressions

Integral of (-8dx)/(x+3)^3 dx

Limits of integration:

The graph:

Piecewise:

The solution