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Integral of d{x}:
Integral of x^3*exp(x^2)
Integral of x^2*a^x
Integral of sec³x
Integral of x*3^x
Derivative of:
1-2*x
Limit of the function:
1-2*x
Identical expressions
one - two *x
1 minus 2 multiply by x
one minus two multiply by x
1-2x
1-2*xdx
Similar expressions
(x-2)/(sqrt(1-2x-x^2))
cbrt(1-2x)
1/(1-2x-3x^2)
1+2*x
x^2/(sqrt(1-2x-x^2))

Solving integrals/ 1-2*x

Integral of 1-2*x dx

The solution

You have entered [src]

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 |  (1 - 2*x) dx
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0

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

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

Detail solution

Integrate term-by-term:
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
1. 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: $- x^{2}$
The result is: $- x^{2} + x$
Now simplify:

$x \left(1 - x\right)$
Add the constant of integration:

$x \left(1 - x\right)+ \mathrm{constant}$

The answer is:

$x \left(1 - x\right)+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                         
 |                         2
 | (1 - 2*x) dx = C + x - x 
 |                          
/

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$0$$

=

$$0$$

Numerical answer [src]

-1.25802354357785e-23

-1.25802354357785e-23

The graph

Integral of 1-2*x dx

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