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Integral of x^2+x^3
Factor polynomial:
x^2+x^3
Derivative of:
x^2+x^3
Graphing y =:
x^2+x^3
Identical expressions
x^ two +x^ three
x squared plus x cubed
x to the power of two plus x to the power of three
x2+x3
x²+x³
x to the power of 2+x to the power of 3
x^2+x^3dx
Similar expressions
x^2-x^3

Solving integrals/ x^2+x^3

Integral of x^2+x^3 dx

The solution

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

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

Integral(x^2 + x^3, (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 $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
The result is: $\frac{x^{4}}{4} + \frac{x^{3}}{3}$
Now simplify:

$\frac{x^{3} \left(3 x + 4\right)}{12}$
Add the constant of integration:

$\frac{x^{3} \left(3 x + 4\right)}{12}+ \mathrm{constant}$

The answer is:

$\frac{x^{3} \left(3 x + 4\right)}{12}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

7/12

$$\frac{7}{12}$$

7/12

$$\frac{7}{12}$$

7/12

Numerical answer [src]

0.583333333333333

0.583333333333333

The graph

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

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Identical expressions

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Integral of x^2+x^3 dx

Limits of integration:

The graph:

Piecewise:

The solution