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Solving integrals/ 2z

Integral of 2z dz

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3 - x      
   /        
  |         
  |   2*z dz
  |         
 /          
 0
$$\int\limits_{0}^{3 - x} 2 z\, dz$$ 
Integral(2*z, (z, 0, 3 - x))
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
 | 2*z dz = C + z 
 |                
/
$$\int 2 z\, dz = C + z^{2}$$
Simplify
The answer [src] 
       2
(3 - x)
$$\left(3 - x\right)^{2}$$ 
=
= 
       2
(3 - x)
$$\left(3 - x\right)^{2}$$ 
(3 - x)^2

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

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