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Solving integrals/ pi/2

Integral of pi/2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0      
  /      
 |       
 |  pi   
 |  -- dx
 |  2    
 |       
/        
-pi
∫−π0π2 dx\int\limits_{- \pi}^{0} \frac{\pi}{2}\, dx 
Integral(pi/2, (x, -pi, 0))
Detail solution

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

    ∫π2 dx=πx2\int \frac{\pi}{2}\, dx = \frac{\pi x}{2}

  2. Add the constant of integration:

    πx2+constant\frac{\pi x}{2}+ \mathrm{constant}

The answer is:

πx2+constant\frac{\pi x}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |                 
 | pi          pi*x
 | -- dx = C + ----
 | 2            2  
 |                 
/
∫π2 dx=C+πx2\int \frac{\pi}{2}\, dx = C + \frac{\pi x}{2}
Simplify
The graph
-3.00-2.75-2.50-2.25-2.00-1.75-1.50-1.25-1.00-0.75-0.50-0.250.005-10
Plot the graph f(x)
The answer [src] 
  2
pi 
---
 2
π22\frac{\pi^{2}}{2} 
=
= 
  2
pi 
---
 2
π22\frac{\pi^{2}}{2} 
pi^2/2
Numerical answer [src] 
4.93480220054468
4.93480220054468

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

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