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x^3+8
Solving integrals/ x^3+8

Integral of x^3+8 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
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 |  / 3    \   
 |  \x  + 8/ dx
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0
$$\int\limits_{0}^{1} \left(x^{3} + 8\right)\, dx$$ 
Integral(x^3 + 8, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of is when :

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

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                          
 |                          4
 | / 3    \                x 
 | \x  + 8/ dx = C + 8*x + --
 |                         4 
/
$$\int \left(x^{3} + 8\right)\, dx = C + \frac{x^{4}}{4} + 8 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
33/4
$$\frac{33}{4}$$ 
=
= 
33/4
$$\frac{33}{4}$$ 
33/4
Numerical answer [src] 
8.25
8.25
The graph
Integral of x^3+8 dx

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

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