Mister Exam

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How to use it?
Integral of d{x}:
Integral of e^(-x)
Integral of -sin(x)
Integral of cos(x/2)
Integral of x-2
Derivative of:
-x/2
Graphing y =:
-x/2
Limit of the function:
-x/2
Identical expressions
-x/ two
minus x divide by 2
minus x divide by two
-x divide by 2
-x/2dx
Similar expressions
(-x)/((2*y))
x/2
exp(sqrt((2-x)/(2+x)))*1/((2+x)*sqrt(4-x^2))
(15-x)/(2x^2)
(e^x-x)/((2*x))
x^2*e^((-x)/2)

Solving integrals/ -x/2

Integral of -x/2 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} \frac{\left(-1\right) x}{2}\, dx$$

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

Detail solution

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

$\int \frac{\left(-1\right) x}{2}\, dx = \frac{\int \left(- x\right)\, dx}{2}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- x\right)\, dx = - \int x\, dx$
  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: $- \frac{x^{2}}{2}$
So, the result is: $- \frac{x^{2}}{4}$
Add the constant of integration:

$- \frac{x^{2}}{4}+ \mathrm{constant}$

The answer is:

$- \frac{x^{2}}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /               
 |               2
 | -x           x 
 | --- dx = C - --
 |  2           4 
 |                
/

$$\int \frac{\left(-1\right) x}{2}\, dx = C - \frac{x^{2}}{4}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-1/4

$$- \frac{1}{4}$$

=

-1/4

$$- \frac{1}{4}$$

-1/4

Numerical answer [src]

-0.25

-0.25

The graph

Integral of -x/2 dx

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