Mister Exam

Other calculators


x^2-6x+5

Integral of x^2-6x+5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                  
  /                  
 |                   
 |  / 2          \   
 |  \x  - 6*x + 5/ dx
 |                   
/                    
0                    
$$\int\limits_{0}^{1} \left(x^{2} - 6 x + 5\right)\, dx$$
Integral(x^2 - 6*x + 5, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. The integral of is when :

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

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

        1. The integral of is when :

        So, the result is:

      So, the result is:

    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]
  /                                       
 |                                       3
 | / 2          \             2         x 
 | \x  - 6*x + 5/ dx = C - 3*x  + 5*x + --
 |                                      3 
/                                         
$${{x^3}\over{3}}-3\,x^2+5\,x$$
The graph
The answer [src]
7/3
$${{7}\over{3}}$$
=
=
7/3
$$\frac{7}{3}$$
Numerical answer [src]
2.33333333333333
2.33333333333333
The graph
Integral of x^2-6x+5 dx

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