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-y^2
Solving integrals/ -y^2

Integral of -y^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
 |        
 |    2   
 |  -y  dy
 |        
/         
0
$$\int\limits_{0}^{1} \left(- y^{2}\right)\, dy$$ 
Integral(-y^2, (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] 
  /               
 |               3
 |   2          y 
 | -y  dy = C - --
 |              3 
/
$$\int \left(- y^{2}\right)\, dy = C - \frac{y^{3}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1/3
$$- \frac{1}{3}$$ 
=
= 
-1/3
$$- \frac{1}{3}$$ 
-1/3
Numerical answer [src] 
-0.333333333333333
-0.333333333333333
The graph
Integral of -y^2 dx

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

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