Mister Exam

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How to use it?
Integral of d{x}:
Integral of x^1
Integral of sin(x)/cos(x)
Integral of -2*x
Integral of e^(x+2)
Graphing y =:
-2*x
Derivative of:
-2*x
Limit of the function:
-2*x
Identical expressions
- two *x
minus 2 multiply by x
minus two multiply by x
-2x
-2*xdx
Similar expressions
2*x
e^(-2x)*sin2x
(x-3)/(x^2-2x-8)
-2x
(8x^3-2x)^4
(3x^4-2x^2+3/x^2+2)

Solving integrals/ -2*x

Integral of -2*x dx

The solution

You have entered [src]

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

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

Detail solution

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

$\int \left(- 2 x\right)\, dx = - 2 \int x\, dx$
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: $- x^{2}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

-1

$$-1$$

=

-1

$$-1$$

-1

Numerical answer [src]

-1.0

-1.0

The graph

Integral of -2*x dx

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