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3x^2-2x+5dx

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

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  2                      
  /                      
 |                       
 |  /   2            \   
 |  \3*x  - 2*x + 5*1/ dx
 |                       
/                        
0                        
$$\int\limits_{0}^{2} \left(3 x^{2} - 2 x + 5 \cdot 1\right)\, dx$$
Integral(3*x^2 - 2*x + 5*1, (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  - 2*x + 5*1/ dx = C + x  - x  + 5*x
 |                                          
/                                           
$$x^3-x^2+5\,x$$
The graph
The answer [src]
14
$$14$$
=
=
14
$$14$$
Numerical answer [src]
14.0
14.0
The graph
Integral of 3x^2-2x+5dx dx

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