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Solving integrals/ x^2-7x

Integral of x^2-7x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3              
  /              
 |               
 |  / 2      \   
 |  \x  - 7*x/ dx
 |               
/                
2
$$\int\limits_{2}^{3} \left(x^{2} - 7 x\right)\, dx$$ 
Integral(x^2 - 7*x, (x, 2, 3))
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 is when :

      So, the result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                        2    3
 | / 2      \          7*x    x 
 | \x  - 7*x/ dx = C - ---- + --
 |                      2     3 
/
$$\int \left(x^{2} - 7 x\right)\, dx = C + \frac{x^{3}}{3} - \frac{7 x^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-67/6
$$- \frac{67}{6}$$ 
=
= 
-67/6
$$- \frac{67}{6}$$ 
-67/6
Numerical answer [src] 
-11.1666666666667
-11.1666666666667

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

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