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7x^6-5x+3/2x^2

Integral of 7x^6-5x+3/2x^2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

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  1                       
  /                       
 |                        
 |  /                2\   
 |  |   6         3*x |   
 |  |7*x  - 5*x + ----| dx
 |  \              2  /   
 |                        
/                         
0                         
$$\int\limits_{0}^{1} \left(7 x^{6} + \frac{3 x^{2}}{2} - 5 x\right)\, dx$$
Integral(7*x^6 - 5*x + 3*x^2/2, (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 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:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                           
 |                                            
 | /                2\                3      2
 | |   6         3*x |           7   x    5*x 
 | |7*x  - 5*x + ----| dx = C + x  + -- - ----
 | \              2  /               2     2  
 |                                            
/                                             
$$\int \left(7 x^{6} + \frac{3 x^{2}}{2} - 5 x\right)\, dx = C + x^{7} + \frac{x^{3}}{2} - \frac{5 x^{2}}{2}$$
The graph
The answer [src]
-1
$$-1$$
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=
-1
$$-1$$
Numerical answer [src]
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-1.0
The graph
Integral of 7x^6-5x+3/2x^2 dx

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