Mister Exam

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How to use it?
Integral of d{x}:
Integral of 3
Integral of x^1
Integral of sin(x)/cos(x)
Integral of e^(x+2)
Derivative of:
x/3
Graphing y =:
x/3
Limit of the function:
x/3
Identical expressions
x/ three
x divide by 3
x divide by three
x/3dx
Similar expressions
dx/(3sinx+4cosx+5)
senx/(3senx+4cosx)

Solving integrals/ x/3

Integral of x/3 dx

The solution

You have entered [src]

$$\int\limits_{2}^{5} \frac{x}{3}\, dx$$

Integral(x/3, (x, 2, 5))

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

7/2

$$\frac{7}{2}$$

=

7/2

$$\frac{7}{2}$$

7/2

Numerical answer [src]

3.5

3.5

The graph

Integral of x/3 dx

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