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Integral of d{x}:
Integral of 2x
Integral of 2x^2
Integral of ctg(x)^4
Integral of cos(1-2x)dx
Derivative of:
2x^2
Graphing y =:
2x^2
Canonical form:
2x^2
Identical expressions
two x^2
2x squared
two x squared
2x2
2x²
2x to the power of 2
2x^2dx
Similar expressions
(x^6-2x^5+x^4+2x^2-2x+1)/(x^4-2x^3+x^2)
(2x^2-10x+8)
(4x-3)/(2x^2-3x-7)

Solving integrals/ 2x^2

Integral of 2x^2 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 2 x^{2}\, dx$$

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:

$\int 2 x^{2}\, dx = 2 \int x^{2}\, dx$
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  
/

$$\int 2 x^{2}\, dx = C + \frac{2 x^{3}}{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

2/3

$$\frac{2}{3}$$

=

2/3

$$\frac{2}{3}$$

Упростить

Numerical answer [src]

0.666666666666667

0.666666666666667

The graph

Integral of 2x^2 dx

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