Mister Exam

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How to use it?
Integral of d{x}:
Integral of x/e^x
Integral of x^2/2
Integral of dx/(sin^2x*cos^4x)
Integral of 1-x-4x^3+2x^5
Derivative of:
x^2/2
Canonical form:
x^2/2
Limit of the function:
x^2/2
Identical expressions
x^ two / two
x squared divide by 2
x to the power of two divide by two
x2/2
x²/2
x to the power of 2/2
x^2 divide by 2
x^2/2dx
Similar expressions
x^2/2x^3+1dx
x^2/2*(1+x^2)
What you mean?
x^2/2
x^1
x^1

Solving integrals/ x^2/2

You entered:

x^2/2

What you mean?

x^2/2

x^1

x^1

Integral of x^2/2 dx

The solution

You have entered [src]

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

Integral(x^2/2, (x, 0, 1))

Detail solution

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

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

$\frac{x^{3}}{6}+ \mathrm{constant}$

The answer is:

$\frac{x^{3}}{6}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

$${{x^3}\over{6}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/6

$${{1}\over{6}}$$

=

1/6

$$\frac{1}{6}$$

Упростить

Numerical answer [src]

0.166666666666667

0.166666666666667

The graph

Integral of x^2/2 dx

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