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Solving integrals/ x^5+1

Integral of x^5+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2            
  /            
 |             
 |  / 5    \   
 |  \x  + 1/ dx
 |             
/              
10
$$\int\limits_{10}^{2} \left(x^{5} + 1\right)\, dx$$ 
Integral(x^5 + 1, (x, 10, 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. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                        
 |                        6
 | / 5    \              x 
 | \x  + 1/ dx = C + x + --
 |                       6 
/
$$\int \left(x^{5} + 1\right)\, dx = C + \frac{x^{6}}{6} + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-166664
$$-166664$$ 
=
= 
-166664
$$-166664$$ 
-166664
Numerical answer [src] 
-166664.0
-166664.0

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

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