Mister Exam

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Integral of d{x}:
Integral of sinxcos3x
Integral of ctg(x)^4
Integral of 12x^2
Integral of sqrt(r^2-x^2)
Derivative of:
12x^2
The double integral of:
12x^2
12x^2
Identical expressions
1 two x^2
12x squared
1 two x squared
12x2
12x²
12x to the power of 2
12x^2dx

Solving integrals/ 12x^2

Integral of 12x^2 dx

The solution

You have entered [src]

  1         
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 |      2   
 |  12*x  dx
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0

$$\int\limits_{0}^{1} 12 x^{2}\, dx$$

Integral(12*x^2, (x, 0, 1))

Detail solution

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

$\int 12 x^{2}\, dx = 12 \int x^{2}\, dx$
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 
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/

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$4$$

=

$$4$$

Numerical answer [src]

4.0

4.0

The graph

Integral of 12x^2 dx

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