Mister Exam

Integral of sinx/4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 pi          
  /          
 |           
 |  sin(x)   
 |  ------ dx
 |    4      
 |           
/            
0            
$$\int\limits_{0}^{\pi} \frac{\sin{\left(x \right)}}{4}\, dx$$
Integral(sin(x)/4, (x, 0, pi))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of sine is negative cosine:

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                      
 |                       
 | sin(x)          cos(x)
 | ------ dx = C - ------
 |   4               4   
 |                       
/                        
$$\int \frac{\sin{\left(x \right)}}{4}\, dx = C - \frac{\cos{\left(x \right)}}{4}$$
The graph
The answer [src]
1/2
$$\frac{1}{2}$$
=
=
1/2
$$\frac{1}{2}$$
1/2
Numerical answer [src]
0.5
0.5

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