Mister Exam

Other calculators

Solving integrals/ cos*x/5

Integral of cos*x/5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 10          
  /          
 |           
 |  cos(x)   
 |  ------ dx
 |    5      
 |           
/            
15
$$\int\limits_{15}^{10} \frac{\cos{\left(x \right)}}{5}\, dx$$ 
Integral(cos(x)/5, (x, 15, 10))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of cosine is sine:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                      
 |                       
 | cos(x)          sin(x)
 | ------ dx = C + ------
 |   5               5   
 |                       
/
$$\int \frac{\cos{\left(x \right)}}{5}\, dx = C + \frac{\sin{\left(x \right)}}{5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  sin(15)   sin(10)
- ------- + -------
     5         5
$$- \frac{\sin{\left(15 \right)}}{5} + \frac{\sin{\left(10 \right)}}{5}$$ 
=
= 
  sin(15)   sin(10)
- ------- + -------
     5         5
$$- \frac{\sin{\left(15 \right)}}{5} + \frac{\sin{\left(10 \right)}}{5}$$ 
-sin(15)/5 + sin(10)/5
Numerical answer [src] 
-0.238861790209297
-0.238861790209297

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

    © Mister Exam – Calculator