Mister Exam

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How to use it?
Integral of d{x}:
Integral of 1/sqrt(x^2+1)
Integral of x^3*ln(x)
Integral of x(x^2+3)
Integral of x^2*lnx
Graphing y =:
-4*x
Derivative of:
-4*x
Limit of the function:
-4*x
Identical expressions
- four *x
minus 4 multiply by x
minus four multiply by x
-4x
-4*xdx
Similar expressions
(5-4x^3)*e^(5x-x^4)
(x-2)/(x^2-4x+7)
arccos2x^2/sqrt(1-4x^2)
4*x
y=x^4-4x+6x^2-4x

Solving integrals/ -4*x

Integral of -4*x dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} \left(- 4 x\right)\, dx$$

Integral(-4*x, (x, 0, 1))

Detail solution

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

$\int \left(- 4 x\right)\, dx = - 4 \int x\, dx$
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: $- 2 x^{2}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

$$-2\,x^2$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-2

$$-2$$

=

-2

$$-2$$

Simplify

Numerical answer [src]

-2.0

-2.0

The graph

Integral of -4*x dx

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