Mister Exam

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How to use it?
Integral of d{x}:
Integral of 1/sqrt(1+u^2)
Integral of x*sin2x
Integral of (1/x^2)dx
Integral of -x^3
Graphing y =:
-x^3
Sum of series:
-x^3
Limit of the function:
-x^3
Identical expressions
-x^ three
minus x cubed
minus x to the power of three
-x3
-x³
-x to the power of 3
-x^3dx
Similar expressions
x(x-x^3)
(x^4-x^3+2)*dx
(1-x)^3*root(x)
(2-x)^3
x^3

Solving integrals/ -x^3

Integral of -x^3 dx

The solution

You have entered [src]

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

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

Detail solution

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

$\int \left(- x^{3}\right)\, dx = - \int x^{3}\, dx$
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: $- \frac{x^{4}}{4}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

-1/4

$$- \frac{1}{4}$$

=

-1/4

$$- \frac{1}{4}$$

-1/4

Numerical answer [src]

-0.25

-0.25

The graph

Integral of -x^3 dx

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