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5*x^3

Integral of 5*x^3 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     3   
 |  5*x  dx
 |         
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0          
$$\int\limits_{0}^{1} 5 x^{3}\, dx$$
Integral(5*x^3, (x, 0, 1))
Detail solution
  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:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                  
 |                  4
 |    3          5*x 
 | 5*x  dx = C + ----
 |                4  
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$$\int 5 x^{3}\, dx = C + \frac{5 x^{4}}{4}$$
The graph
The answer [src]
5/4
$$\frac{5}{4}$$
=
=
5/4
$$\frac{5}{4}$$
5/4
Numerical answer [src]
1.25
1.25
The graph
Integral of 5*x^3 dx

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