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

Integral of 2x^3+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |  /   3    \   
 |  \2*x  + 1/ dx
 |               
/                
0
$$\int\limits_{0}^{1} \left(2 x^{3} + 1\right)\, dx$$ 
Integral(2*x^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] 
  /                          
 |                          4
 | /   3    \              x 
 | \2*x  + 1/ dx = C + x + --
 |                         2 
/
$$\int \left(2 x^{3} + 1\right)\, dx = C + \frac{x^{4}}{2} + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
3/2
$$\frac{3}{2}$$ 
=
= 
3/2
$$\frac{3}{2}$$ 
3/2
Numerical answer [src] 
1.5
1.5
The graph
Integral of 2x^3+1 dx

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

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