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sinx/cosx*cosx
Solving integrals/ sinx/cosx*cosx

Integral of sinx/cosx*cosx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. There are multiple ways to do this integral.

    Method #1

    1. Let .

      Then let and substitute :

      1. The integral of is when :

      Now substitute back in:

    Method #2

    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 a constant is the constant times the variable of integration:

        So, the result is:

      Now substitute back in:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                              
 | sin(x)*cos(x)                
 | ------------- dx = C - cos(x)
 |     cos(x)                   
 |                              
/
$$\int \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\cos{\left(x \right)}}\, dx = C - \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1 - cos(1)
$$1 - \cos{\left(1 \right)}$$ 
=
= 
1 - cos(1)
$$1 - \cos{\left(1 \right)}$$
Упростить
Numerical answer [src] 
0.45969769413186
0.45969769413186
The graph
Integral of sinx/cosx*cosx dx

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

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