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Solving integrals/ 3x^-4

Integral of 3x^-4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  x      
  /      
 |       
 |  3    
 |  -- dx
 |   4   
 |  x    
 |       
/        
1
$$\int\limits_{1}^{x} \frac{3}{x^{4}}\, dx$$ 
Integral(3/x^4, (x, 1, x))
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] 
  /              
 |               
 | 3           1 
 | -- dx = C - --
 |  4           3
 | x           x 
 |               
/
$$\int \frac{3}{x^{4}}\, dx = C - \frac{1}{x^{3}}$$
Simplify
The answer [src] 
    1 
1 - --
     3
    x
$$1 - \frac{1}{x^{3}}$$ 
=
= 
    1 
1 - --
     3
    x
$$1 - \frac{1}{x^{3}}$$ 
1 - 1/x^3

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

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