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3x^2-4x-5

Integral of 3x^2-4x-5 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  2                    
  /                    
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 |  /   2          \   
 |  \3*x  - 4*x - 5/ dx
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/                      
0                      
$$\int\limits_{0}^{2} \left(3 x^{2} - 4 x - 5\right)\, dx$$
Integral(3*x^2 - 4*x - 1*5, (x, 0, 2))
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 a constant times a function is the constant times the integral of the function:

        1. The integral of is when :

        So, the result is:

      So, the result is:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                         
 |                                          
 | /   2          \           3            2
 | \3*x  - 4*x - 5/ dx = C + x  - 5*x - 2*x 
 |                                          
/                                           
$$x^3-2\,x^2-5\,x$$
The graph
The answer [src]
-10
$$-10$$
=
=
-10
$$-10$$
Numerical answer [src]
-10.0
-10.0
The graph
Integral of 3x^2-4x-5 dx

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