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Integral of d{x}:
Integral of x^3*exp(x^2)
Integral of x^2*a^x
Integral of sec³x
Integral of x*3^x
Derivative of:
x^3+2
Graphing y =:
x^3+2
Factor polynomial:
x^3+2
Identical expressions
x^ three + two
x cubed plus 2
x to the power of three plus two
x3+2
x³+2
x to the power of 3+2
x^3+2dx
Similar expressions
x^3-2
(2x^3+2sinx-4cosx+3)
(x^(3)+2x^(2)-5)dx

Solving integrals/ x^3+2

Integral of x^3+2 dx

The solution

You have entered [src]

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

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

Integral(x^3 + 2, (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 a constant is the constant times the variable of integration:
  
  $\int 2\, dx = 2 x$
The result is: $\frac{x^{4}}{4} + 2 x$
Now simplify:

$\frac{x \left(x^{3} + 8\right)}{4}$
Add the constant of integration:

$\frac{x \left(x^{3} + 8\right)}{4}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{3} + 8\right)}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

9/4

$$\frac{9}{4}$$

9/4

$$\frac{9}{4}$$

9/4

Numerical answer [src]

2.25

2.25

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^3+2 dx

Limits of integration:

The graph:

Piecewise:

The solution