Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of (x-1)^1/2
Integral of log(x)*dx/x^3
Integral of sin(log(x))^2/x
Integral of dx/(2*x-1)
Derivative of:
-2x^3
Graphing y =:
-2x^3
Identical expressions
-2x^ three
minus 2x cubed
minus 2x to the power of three
-2x3
-2x³
-2x to the power of 3
-2x^3dx
Similar expressions
2*x^2-2*x^(3/2)
36dx/(3-2x)^3
2x^3

Solving integrals/ -2x^3

Integral of -2x^3 dx

The solution

You have entered [src]

  1         
  /         
 |          
 |      3   
 |  -2*x  dx
 |          
/           
0

$$\int\limits_{0}^{1} \left(- 2 x^{3}\right)\, dx$$

Integral(-2*x^3, (x, 0, 1))

Detail solution

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

$\int \left(- 2 x^{3}\right)\, dx = - 2 \int x^{3}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
So, the result is: $- \frac{x^{4}}{2}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                 
 |                 4
 |     3          x 
 | -2*x  dx = C - --
 |                2 
/

$$\int \left(- 2 x^{3}\right)\, dx = C - \frac{x^{4}}{2}$$

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 -2x^3 dx

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