Mister Exam

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How to use it?
Integral of d{x}:
Integral of x/(x-1)^2
Integral of 1/(1+x^2)^1/2
Integral of x^2/4
Integral of x(lnx)^2
Graphing y =:
12*x
Derivative of:
12*x
Limit of the function:
12*x
Identical expressions
twelve *x
12 multiply by x
twelve multiply by x
12x
12*xdx
Similar expressions
(48x^3-9x^2)exp(12x^4-3x^3)
1/√(x^2-12x+36)
x^3-12x
12x+6
ln12x

Solving integrals/ 12*x

Integral of 12*x dx

The solution

You have entered [src]

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

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

Detail solution

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

$\int 12 x\, dx = 12 \int x\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x\, dx = \frac{x^{2}}{2}$
So, the result is: $6 x^{2}$
Add the constant of integration:

$6 x^{2}+ \mathrm{constant}$

The answer is:

$6 x^{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  2
 | 12*x dx = C + 6*x 
 |                   
/

$$\int 12 x\, dx = C + 6 x^{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$6$$

=

$$6$$

Numerical answer [src]

6.0

6.0

The graph

Integral of 12*x dx

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