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How to use it?
Integral of d{x}:
Integral of (1+2x^2)/(x^2(1+x^2))
Integral of 1/100
Integral of x^5*dx
Integral of xsin(x+2)
Derivative of:
6*x^2
Limit of the function:
6*x^2
Identical expressions
six *x^ two
6 multiply by x squared
six multiply by x to the power of two
6*x2
6*x²
6*x to the power of 2
6x^2
6x2
6*x^2dx
Similar expressions
(e^tg6x)/(cos6x)^2
tg6x/cos6x^2
(√x^3-6x^2+sinx+5e^x)
(1/(24+16x^2))-e^-x
cosx+x^3-6x^2+11x

Solving integrals/ 6*x^2

Integral of 6*x^2 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 6 x^{2}\, dx$$

Integral(6*x^2, (x, 0, 1))

Detail solution

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

$\int 6 x^{2}\, dx = 6 \int x^{2}\, dx$
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: $2 x^{3}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                  
 |                   
 |    2             3
 | 6*x  dx = C + 2*x 
 |                   
/

$$2\,x^3$$

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 6*x^2 dx

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