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Integral of d{x}:
Integral of e^(2*x)*cos(3*x)
Integral of (2x-4)
Integral of (3-sin(x))/(2cos(x)+3tan(x))
Integral of (x)/(x^3-1)
Derivative of:
-2*x^2
Limit of the function:
-2*x^2
Identical expressions
- two *x^ two
minus 2 multiply by x squared
minus two multiply by x to the power of two
-2*x2
-2*x²
-2*x to the power of 2
-2x^2
-2x2
-2*x^2dx
Similar expressions
2*x^2
(x-2*x^(2/3))/(3x^2)
-(2x^2-x-1)

Solving integrals/ -2*x^2

Integral of -2*x^2 dx

The solution

You have entered [src]

  1         
  /         
 |          
 |      2   
 |  -2*x  dx
 |          
/           
0

$$\int\limits_{0}^{1} \left(- 2 x^{2}\right)\, dx$$

Integral(-2*x^2, (x, 0, 1))

Detail solution

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

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

$- \frac{2 x^{3}}{3}+ \mathrm{constant}$

The answer is:

$- \frac{2 x^{3}}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   
 |                   3
 |     2          2*x 
 | -2*x  dx = C - ----
 |                 3  
/

$$\int \left(- 2 x^{2}\right)\, dx = C - \frac{2 x^{3}}{3}$$

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

The graph

Integral of -2*x^2 dx

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