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x^3dx+x^3

Integral of x^3dx+x^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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  2               
  /               
 |                
 |  / 3      3\   
 |  \x *1 + x / dx
 |                
/                 
1                 
12(x31+x3)dx\int\limits_{1}^{2} \left(x^{3} \cdot 1 + x^{3}\right)\, dx
Integral(x^3*1 + x^3, (x, 1, 2))
Detail solution
  1. Integrate term-by-term:

    1. Don't know the steps in finding this integral.

      But the integral is

      x44\frac{x^{4}}{4}

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n1n \neq -1:

      x3dx=x44\int x^{3}\, dx = \frac{x^{4}}{4}

    The result is: x42\frac{x^{4}}{2}

  2. Add the constant of integration:

    x42+constant\frac{x^{4}}{2}+ \mathrm{constant}


The answer is:

x42+constant\frac{x^{4}}{2}+ \mathrm{constant}

The answer (Indefinite) [src]
  /                       
 |                       4
 | / 3      3\          x 
 | \x *1 + x / dx = C + --
 |                      2 
/                         
(x31+x3)dx=C+x42\int \left(x^{3} \cdot 1 + x^{3}\right)\, dx = C + \frac{x^{4}}{2}
The graph
1.002.001.101.201.301.401.501.601.701.801.90020
The answer [src]
15/2
152\frac{15}{2}
=
=
15/2
152\frac{15}{2}
Numerical answer [src]
7.5
7.5
The graph
Integral of x^3dx+x^3 dx

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