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Solving integrals/ ax^4

Integral of ax^4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  4        
  /        
 |         
 |     4   
 |  a*x  dx
 |         
/          
0
$$\int\limits_{0}^{4} a x^{4}\, dx$$ 
Integral(a*x^4, (x, 0, 4))
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] 
  /                  
 |                  5
 |    4          a*x 
 | a*x  dx = C + ----
 |                5  
/
$$\int a x^{4}\, dx = C + \frac{a x^{5}}{5}$$
Simplify
The answer [src] 
1024*a
------
  5
$$\frac{1024 a}{5}$$ 
=
= 
1024*a
------
  5
$$\frac{1024 a}{5}$$ 
1024*a/5

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

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