Mister Exam

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How to use it?
Integral of d{x}:
Integral of x^-2
Integral of 1/(x^2)
Integral of e^(3x)
Integral of e^(-2x)
Derivative of:
6x
Equation:
6x
Canonical form:
6x
Identical expressions
6x
6xdx
Similar expressions
sin(x^6)*x^5

Solving integrals/ 6x

Integral of 6x 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 
 |                  
/

$$\int 6 x\, dx = C + 3 x^{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$3$$

=

$$3$$

Numerical answer [src]

3.0

3.0

The graph

Integral of 6x dx

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