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Integral of d{x}:
Integral of 1/(1+x^2)
Integral of 1/x²
Integral of -2/x
Integral of -x
Derivative of:
-x
Graphing y =:
-x
Limit of the function:
-x
Identical expressions
-x
minus x
-xdx
Similar expressions
x

Solving integrals/ -x

Integral of -x dx

The solution

You have entered [src]

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

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

Detail solution

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: $- \frac{x^{2}}{2}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

-1/2

$$- \frac{1}{2}$$

=

-1/2

$$- \frac{1}{2}$$

-1/2

Numerical answer [src]

-0.5

-0.5

The graph

Integral of -x dx

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