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sin(x)/cos(x)
Solving integrals/ sin(x)/cos(x)

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |  sin(x)   
 |  ------ dx
 |  cos(x)   
 |           
/            
0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\, dx$$ 
Integral(sin(x)/cos(x), (x, 0, 1))
Detail solution

  1. Let .

    Then let and substitute :

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

      1. The integral of is .

      So, the result is:

    Now substitute back in:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                           
 |                            
 | sin(x)                     
 | ------ dx = C - log(cos(x))
 | cos(x)                     
 |                            
/
$$\int \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\, dx = C - \log{\left(\cos{\left(x \right)} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-log(cos(1))
$$- \log{\left(\cos{\left(1 \right)} \right)}$$ 
=
= 
-log(cos(1))
$$- \log{\left(\cos{\left(1 \right)} \right)}$$ 
-log(cos(1))
Numerical answer [src] 
0.615626470386014
0.615626470386014
The graph
Integral of sin(x)/cos(x) dx

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

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