Mister Exam

Integral of x⁴-4x³-2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                     
  /                     
 |                      
 |  / 4      3      \   
 |  \x  - 4*x  - 2*x/ dx
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \left(- 2 x + \left(x^{4} - 4 x^{3}\right)\right)\, dx$$
Integral(x^4 - 4*x^3 - 2*x, (x, 0, 1))
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. Integrate term-by-term:

      1. The integral of is when :

      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:

    The result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                       
 |                                       5
 | / 4      3      \           2    4   x 
 | \x  - 4*x  - 2*x/ dx = C - x  - x  + --
 |                                      5 
/                                         
$$\int \left(- 2 x + \left(x^{4} - 4 x^{3}\right)\right)\, dx = C + \frac{x^{5}}{5} - x^{4} - x^{2}$$
The graph
The answer [src]
-9/5
$$- \frac{9}{5}$$
=
=
-9/5
$$- \frac{9}{5}$$
-9/5
Numerical answer [src]
-1.8
-1.8

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