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5x^3-4x+3

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

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1                    
  /                    
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 |  /   3          \   
 |  \5*x  - 4*x + 3/ dx
 |                     
/                      
0                      
$$\int\limits_{0}^{1} \left(5 x^{3} - 4 x + 3\right)\, dx$$
Integral(5*x^3 - 4*x + 3, (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. 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]
  /                                           
 |                                           4
 | /   3          \             2         5*x 
 | \5*x  - 4*x + 3/ dx = C - 2*x  + 3*x + ----
 |                                         4  
/                                             
$$\int \left(5 x^{3} - 4 x + 3\right)\, dx = C + \frac{5 x^{4}}{4} - 2 x^{2} + 3 x$$
The graph
The answer [src]
9/4
$$\frac{9}{4}$$
=
=
9/4
$$\frac{9}{4}$$
Numerical answer [src]
2.25
2.25
The graph
Integral of 5x^3-4x+3 dx

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