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

Integral of x^3/3+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  / 3    \   
 |  |x     |   
 |  |-- + 1| dx
 |  \3     /   
 |             
/              
0
$$\int\limits_{0}^{1} \left(\frac{x^{3}}{3} + 1\right)\, dx$$ 
Integral(x^3/3 + 1, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

      1. The integral of is when :

      So, the result is:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                        
 |                         
 | / 3    \               4
 | |x     |              x 
 | |-- + 1| dx = C + x + --
 | \3     /              12
 |                         
/
$$\int \left(\frac{x^{3}}{3} + 1\right)\, dx = C + \frac{x^{4}}{12} + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
13
--
12
$$\frac{13}{12}$$ 
=
= 
13
--
12
$$\frac{13}{12}$$ 
13/12
Numerical answer [src] 
1.08333333333333
1.08333333333333
The graph
Integral of x^3/3+1 dx

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

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