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Solving integrals/ 2*x^2-3*x

Integral of 2*x^2-3*x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  2                
  /                
 |                 
 |  /   2      \   
 |  \2*x  - 3*x/ dx
 |                 
/                  
-1
$$\int\limits_{-1}^{2} \left(2 x^{2} - 3 x\right)\, dx$$ 
Integral(2*x^2 - 3*x, (x, -1, 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 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] 
  /                                 
 |                          2      3
 | /   2      \          3*x    2*x 
 | \2*x  - 3*x/ dx = C - ---- + ----
 |                        2      3  
/
$$\int \left(2 x^{2} - 3 x\right)\, dx = C + \frac{2 x^{3}}{3} - \frac{3 x^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
3/2
$$\frac{3}{2}$$ 
=
= 
3/2
$$\frac{3}{2}$$ 
3/2
Numerical answer [src] 
1.5
1.5

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

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