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Solving integrals/ -z

Integral of -z dz

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |  -z dz
 |       
/        
0
$$\int\limits_{0}^{1} \left(- z\right)\, dz$$ 
Integral(-z, (z, 0, 1))
Detail solution

  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:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /             2
 |             z 
 | -z dz = C - --
 |             2 
/
$$\int \left(- z\right)\, dz = C - \frac{z^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1/2
$$- \frac{1}{2}$$ 
=
= 
-1/2
$$- \frac{1}{2}$$ 
-1/2
Numerical answer [src] 
-0.5
-0.5

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

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