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sin(2*x)/cos(x)
Solving integrals/ sin(2*x)/cos(x)

Integral of sin(2*x)/cos(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  sin(2*x)   
 |  -------- dx
 |   cos(x)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{\sin{\left(2 x \right)}}{\cos{\left(x \right)}}\, dx$$ 
Integral(sin(2*x)/cos(x), (x, 0, 1))
Detail solution

  1. There are multiple ways to do this integral.

    Method #1

    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:

    Method #2

    1. Rewrite the integrand:

    2. 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(2*x)                  
 | -------- dx = C - 2*cos(x)
 |  cos(x)                   
 |                           
/
$$\int \frac{\sin{\left(2 x \right)}}{\cos{\left(x \right)}}\, dx = C - 2 \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2 - 2*cos(1)
$$2 - 2 \cos{\left(1 \right)}$$ 
=
= 
2 - 2*cos(1)
$$2 - 2 \cos{\left(1 \right)}$$ 
2 - 2*cos(1)
Numerical answer [src] 
0.919395388263721
0.919395388263721
The graph
Integral of sin(2*x)/cos(x) dx

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

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