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x^4/16
Solving integrals/ x^4/16

You entered:

x^4/16

What you mean?

x^4/16
 
x^(1/4)
 
x^(1/4)

Integral of x^4/16 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  4      
  /      
 |       
 |   4   
 |  x    
 |  -- dx
 |  16   
 |       
/        
0
$$\int\limits_{0}^{4} \frac{x^{4}}{16}\, dx$$ 
Integral(x^4/16, (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] 
  /              
 |               
 |  4           5
 | x           x 
 | -- dx = C + --
 | 16          80
 |               
/
$$\int \frac{x^{4}}{16}\, dx = C + \frac{x^{5}}{80}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
64/5
$$\frac{64}{5}$$ 
=
= 
64/5
$$\frac{64}{5}$$ 
64/5
Numerical answer [src] 
12.8
12.8
The graph
Integral of x^4/16 dx

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

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