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Integral of d{x}:
Integral of e^(2*x+1)
Integral of dx/(9*x^2-1)
Integral of -cos(2x)
Integral of dx/(5-2*x)
Graphing y =:
12*x^2
Limit of the function:
12*x^2
Derivative of:
12*x^2
Identical expressions
twelve *x^ two
12 multiply by x squared
twelve multiply by x to the power of two
12*x2
12*x²
12*x to the power of 2
12x^2
12x2
12*x^2dx

Solving integrals/ 12*x^2

Integral of 12*x^2 dx

The solution

You have entered [src]

  2         
  /         
 |          
 |      2   
 |  12*x  dx
 |          
/           
-1

$$\int\limits_{-1}^{2} 12 x^{2}\, dx$$

Integral(12*x^2, (x, -1, 2))

Detail solution

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

$\int 12 x^{2}\, dx = 12 \int x^{2}\, dx$
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: $4 x^{3}$
Add the constant of integration:

$4 x^{3}+ \mathrm{constant}$

The answer is:

$4 x^{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   
 |                    
 |     2             3
 | 12*x  dx = C + 4*x 
 |                    
/

$$\int 12 x^{2}\, dx = C + 4 x^{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$36$$

=

$$36$$

Numerical answer [src]

36.0

36.0

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