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Solving integrals/ 8y

Integral of 8y dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0       
  /       
 |        
 |  8*y dy
 |        
/         
3
$$\int\limits_{3}^{0} 8 y\, dy$$ 
Integral(8*y, (y, 3, 0))
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
 | 8*y dy = C + 4*y 
 |                  
/
$$\int 8 y\, dy = C + 4 y^{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-36
$$-36$$ 
=
= 
-36
$$-36$$ 
-36
Numerical answer [src] 
-36.0
-36.0

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

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