Mister Exam

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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
Canonical form:
x^2/4
Limit of the function:
x^2/4
Derivative of:
x^2/4
Identical expressions
x^ two / four
x squared divide by 4
x to the power of two divide by four
x2/4
x²/4
x to the power of 2/4
x^2 divide by 4
x^2/4dx
Similar expressions
x^2/(4-x^2)^0,5
e^((-x^2)/4+3x+1/3)
2*pi*sqrt(16-3*x^2)/4

Solving integrals/ x^2/4

Integral of x^2/4 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} \frac{x^{2}}{4}\, dx$$

Integral(x^2/4, (x, 0, 1))

Detail solution

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

$\int \frac{x^{2}}{4}\, dx = \frac{\int x^{2}\, dx}{4}$
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: $\frac{x^{3}}{12}$
Add the constant of integration:

$\frac{x^{3}}{12}+ \mathrm{constant}$

The answer is:

$\frac{x^{3}}{12}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |               
 |  2           3
 | x           x 
 | -- dx = C + --
 | 4           12
 |               
/

$$\int \frac{x^{2}}{4}\, dx = C + \frac{x^{3}}{12}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/12

$$\frac{1}{12}$$

=

1/12

$$\frac{1}{12}$$

1/12

Numerical answer [src]

0.0833333333333333

0.0833333333333333

The graph

Integral of x^2/4 dx

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