Mister Exam

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Integral of (sin(pi)x)/(x) dx

You have entered [src]

  1             
  /             
 |              
 |  sin(pi)*x   
 |  --------- dx
 |      x       
 |              
/               
0

$$\int\limits_{0}^{1} \frac{x \sin{\left(\pi \right)}}{x}\, dx$$

Integral((sin(pi)*x)/x, (x, 0, 1))

Detail solution

Rewrite the integrand:

$\frac{x \sin{\left(\pi \right)}}{x} = 0$
The integral of a constant is the constant times the variable of integration:

$\text{True}$

The answer is:

$0+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |                 
 | sin(pi)*x       
 | --------- dx = C
 |     x           
 |                 
/

$$\int \frac{x \sin{\left(\pi \right)}}{x}\, dx = C$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$0$$

Numerical answer [src]

-1.90632238679607e-22

-1.90632238679607e-22

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