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Solving integrals/ 27x

Integral of 27x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |  27*x dx
 |         
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0
$$\int\limits_{0}^{1} 27 x\, dx$$ 
Integral(27*x, (x, 0, 1))
Detail solution

  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:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                  2
 |               27*x 
 | 27*x dx = C + -----
 |                 2  
/
$$\int 27 x\, dx = C + \frac{27 x^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
27/2
$$\frac{27}{2}$$ 
=
= 
27/2
$$\frac{27}{2}$$ 
27/2
Numerical answer [src] 
13.5
13.5

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

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