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Solving integrals/ pi/3

Integral of pi/3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |  pi   
 |  -- dx
 |  3    
 |       
/        
0
∫01π3 dx\int\limits_{0}^{1} \frac{\pi}{3}\, dx 
Integral(pi/3, (x, 0, 1))
Detail solution

  1. The integral of a constant is the constant times the variable of integration:

    ∫π3 dx=πx3\int \frac{\pi}{3}\, dx = \frac{\pi x}{3}

  2. Add the constant of integration:

    πx3+constant\frac{\pi x}{3}+ \mathrm{constant}

The answer is:

πx3+constant\frac{\pi x}{3}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |                 
 | pi          pi*x
 | -- dx = C + ----
 | 3            3  
 |                 
/
∫π3 dx=C+πx3\int \frac{\pi}{3}\, dx = C + \frac{\pi x}{3}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
pi
--
3
π3\frac{\pi}{3} 
=
= 
pi
--
3
π3\frac{\pi}{3} 
pi/3
Numerical answer [src] 
1.0471975511966
1.0471975511966

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

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