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Solving integrals/ -2y^2

Integral of -2y^2 dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0         
  /         
 |          
 |      2   
 |  -2*y  dy
 |          
/           
1
$$\int\limits_{1}^{0} \left(- 2 y^{2}\right)\, dy$$ 
Integral(-2*y^2, (y, 1, 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] 
  /                   
 |                   3
 |     2          2*y 
 | -2*y  dy = C - ----
 |                 3  
/
$$\int \left(- 2 y^{2}\right)\, dy = C - \frac{2 y^{3}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2/3
$$\frac{2}{3}$$ 
=
= 
2/3
$$\frac{2}{3}$$ 
2/3
Numerical answer [src] 
0.666666666666667
0.666666666666667

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

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