Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of x^2+2
Integral of 6*x
Integral of x^2-6
Integral of xln^2x
Derivative of:
6*x
Graphing y =:
6*x
Limit of the function:
6*x
Identical expressions
six *x
6 multiply by x
six multiply by x
6x
6*xdx
Similar expressions
sin(2x)*sin(6x)
(6x²-2x+1)
sen^6x
(6x²+2x)dx
16x

Solving integrals/ 6*x

Integral of 6*x dx

The solution

You have entered [src]

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

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

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

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

$$3\,x^2$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$3$$

=

$$3$$

Simplify

Numerical answer [src]

3.0

3.0

The graph

Integral of 6*x dx

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