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Solving integrals/ x^6+27

Integral of x^6+27 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 1/2            
  /             
 |              
 |  / 6     \   
 |  \x  + 27/ dx
 |              
/               
0
$$\int\limits_{0}^{\frac{1}{2}} \left(x^{6} + 27\right)\, dx$$ 
Integral(x^6 + 27, (x, 0, 1/2))
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] 
  /                            
 |                            7
 | / 6     \                 x 
 | \x  + 27/ dx = C + 27*x + --
 |                           7 
/
$$\int \left(x^{6} + 27\right)\, dx = C + \frac{x^{7}}{7} + 27 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
12097
-----
 896
$$\frac{12097}{896}$$ 
=
= 
12097
-----
 896
$$\frac{12097}{896}$$ 
12097/896
Numerical answer [src] 
13.5011160714286
13.5011160714286

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

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