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Integral of d{x}:
Integral of 1/(1+x^2)
Integral of 5
Integral of dy
Integral of 1/(x+x^(1/3))
Identical expressions
-6y^ two
minus 6y squared
minus 6y to the power of two
-6y2
-6y²
-6y to the power of 2
Similar expressions
6y^2

Solving integrals/ -6y^2

Integral of -6y^2 dy

The solution

You have entered [src]

 -1         
  /         
 |          
 |      2   
 |  -6*y  dy
 |          
/           
0

$$\int\limits_{0}^{-1} \left(- 6 y^{2}\right)\, dy$$

Simplify

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int \left(- 6 y^{2}\right)\, dy = - 6 \int y^{2}\, dy$
1. The integral of $y^{n}$ is $\frac{y^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int y^{2}\, dy = \frac{y^{3}}{3}$
So, the result is: $- 2 y^{3}$
Add the constant of integration:

$- 2 y^{3}+ \mathrm{constant}$

The answer is:

$- 2 y^{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   
 |                    
 |     2             3
 | -6*y  dy = C - 2*y 
 |                    
/

$$-2\,y^3$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$2$$

=

$$2$$

Simplify

Numerical answer [src]

2.0

2.0

The graph

Integral of -6y^2 dy

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