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(x^5)+(x^6)+1

Integral of (x^5)+(x^6)+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                 
  /                 
 |                  
 |  / 5    6    \   
 |  \x  + x  + 1/ dx
 |                  
/                   
0                   
$$\int\limits_{0}^{1} \left(x^{6} + x^{5} + 1\right)\, dx$$
Integral(x^5 + x^6 + 1, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. The integral of is when :

    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    7
 | / 5    6    \              x    x 
 | \x  + x  + 1/ dx = C + x + -- + --
 |                            6    7 
/                                    
$${{x^7}\over{7}}+{{x^6}\over{6}}+x$$
The graph
The answer [src]
55
--
42
$${{55}\over{42}}$$
=
=
55
--
42
$$\frac{55}{42}$$
Numerical answer [src]
1.30952380952381
1.30952380952381
The graph
Integral of (x^5)+(x^6)+1 dx

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