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Solving integrals/ 1/tg(x)+4cos(2x)

Integral of 1/tg(x)+4cos(2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                         
 --                         
 6                          
  /                         
 |                          
 |  /  1                \   
 |  |------ + 4*cos(2*x)| dx
 |  \tan(x)             /   
 |                          
/                           
0
$$\int\limits_{0}^{\frac{\pi}{6}} \left(4 \cos{\left(2 x \right)} + \frac{1}{\tan{\left(x \right)}}\right)\, dx$$ 
Integral(1/tan(x) + 4*cos(2*x), (x, 0, pi/6))
The answer (Indefinite) [src] 
  /                                                                                
 |                                   /          2   \                   /     2   \
 | /  1                \          log\-2 + 2*sec (x)/                log\2*sec (x)/
 | |------ + 4*cos(2*x)| dx = C + ------------------- + 2*sin(2*x) - --------------
 | \tan(x)             /                   2                               2       
 |                                                                                 
/
$$\int \left(4 \cos{\left(2 x \right)} + \frac{1}{\tan{\left(x \right)}}\right)\, dx = C + \frac{\log{\left(2 \sec^{2}{\left(x \right)} - 2 \right)}}{2} - \frac{\log{\left(2 \sec^{2}{\left(x \right)} \right)}}{2} + 2 \sin{\left(2 x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
45.7762903763847
45.7762903763847

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

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