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Solving integrals/ dx/✓4*6²-3*6x

Integral of dx/✓4*6²-3*6x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  6                  
  /                  
 |                   
 |  /  36        \   
 |  |----- - 18*x| dx
 |  |  ___       |   
 |  \\/ 4        /   
 |                   
/                    
0
$$\int\limits_{0}^{6} \left(- 18 x + \frac{36}{\sqrt{4}}\right)\, dx$$ 
Integral(36/sqrt(4) - 18*x, (x, 0, 6))
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 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] 
  /                                   
 |                                    
 | /  36        \             2       
 | |----- - 18*x| dx = C - 9*x  + 18*x
 | |  ___       |                     
 | \\/ 4        /                     
 |                                    
/
$$\int \left(- 18 x + \frac{36}{\sqrt{4}}\right)\, dx = C - 9 x^{2} + 18 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-216
$$-216$$ 
=
= 
-216
$$-216$$ 
-216
Numerical answer [src] 
-216.0
-216.0

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

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