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-4x^4-x^5

Integral of -4x^4-x^5 dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src]
  4                 
  /                 
 |                  
 |  /     4    5\   
 |  \- 4*x  - x / dx
 |                  
/                   
-2                  
$$\int\limits_{-2}^{4} \left(- x^{5} - 4 x^{4}\right)\, dx$$
Integral(-4*x^4 - x^5, (x, -2, 4))
Detail solution
  1. Integrate term-by-term:

    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:

    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:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                
 |                           5    6
 | /     4    5\          4*x    x 
 | \- 4*x  - x / dx = C - ---- - --
 |                         5     6 
/                                  
$$-{{x^6}\over{6}}-{{4\,x^5}\over{5}}$$
The graph
The answer [src]
-7584/5
$$-{{7584}\over{5}}$$
=
=
-7584/5
$$- \frac{7584}{5}$$
Numerical answer [src]
-1516.8
-1516.8
The graph
Integral of -4x^4-x^5 dx

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