Mister Exam

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Integral of pi/2 dx

You have entered [src]

$$\int\limits_{- \pi}^{0} \frac{\pi}{2}\, dx$$

Integral(pi/2, (x, -pi, 0))

Detail solution

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

$\int \frac{\pi}{2}\, dx = \frac{\pi x}{2}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                
 |                 
 | pi          pi*x
 | -- dx = C + ----
 | 2            2  
 |                 
/

$$\int \frac{\pi}{2}\, dx = C + \frac{\pi x}{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

  2
pi 
---
 2

$$\frac{\pi^{2}}{2}$$

  2
pi 
---
 2

$$\frac{\pi^{2}}{2}$$

pi^2/2

Numerical answer [src]

4.93480220054468

4.93480220054468

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