Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of (1+2x^2)/(x^2(1+x^2))
Integral of 1/100
Integral of x^5*dx
Integral of xsin(x+2)
Graphing y =:
x^3+x^2+1
Factor polynomial:
x^3+x^2+1
Derivative of:
x^3+x^2+1
Identical expressions
x^ three +x^ two + one
x cubed plus x squared plus 1
x to the power of three plus x to the power of two plus one
x3+x2+1
x³+x²+1
x to the power of 3+x to the power of 2+1
x^3+x^2+1dx
Similar expressions
x^3-x^2+1
x^3+x^2-1

Solving integrals/ x^3+x^2+1

Integral of x^3+x^2+1 dx

The solution

You have entered [src]

  1                 
  /                 
 |                  
 |  / 3    2    \   
 |  \x  + x  + 1/ dx
 |                  
/                   
0

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

Integral(x^3 + x^2 + 1, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
The result is: $\frac{x^{4}}{4} + \frac{x^{3}}{3} + x$
Add the constant of integration:

$\frac{x^{4}}{4} + \frac{x^{3}}{3} + x+ \mathrm{constant}$

The answer is:

$\frac{x^{4}}{4} + \frac{x^{3}}{3} + x+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                  
 |                             3    4
 | / 3    2    \              x    x 
 | \x  + x  + 1/ dx = C + x + -- + --
 |                            3    4 
/

$${{x^4}\over{4}}+{{x^3}\over{3}}+x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

19
--
12

$${{19}\over{12}}$$

19
--
12

$$\frac{19}{12}$$

Simplify

Numerical answer [src]

1.58333333333333

1.58333333333333

The graph

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of x^3+x^2+1 dx

Limits of integration:

The graph:

Piecewise:

The solution