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Solving integrals/ -4y

Integral of -4y dY

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |  -4*y dy
 |         
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0
$$\int\limits_{0}^{1} \left(- 4 y\right)\, dy$$ 
Integral(-4*y, (y, 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
 | -4*y dy = C - 2*y 
 |                   
/
$$\int \left(- 4 y\right)\, dy = C - 2 y^{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-2
$$-2$$ 
=
= 
-2
$$-2$$ 
-2
Numerical answer [src] 
-2.0
-2.0

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

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