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dx/tan5x
Solving integrals/ dx/tan5x

Integral of dx/tan5x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |     1       
 |  -------- dx
 |  tan(5*x)   
 |             
/              
0
∫011tan⁡(5x) dx\int\limits_{0}^{1} \frac{1}{\tan{\left(5 x \right)}}\, dx 
Integral(1/tan(5*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                          
 |                      /     2     \      /          2     \
 |    1              log\2*sec (5*x)/   log\-2 + 2*sec (5*x)/
 | -------- dx = C - ---------------- + ---------------------
 | tan(5*x)                 10                    10         
 |                                                           
/
∫1tan⁡(5x) dx=C+log⁡(2sec⁡2(5x)−2)10−log⁡(2sec⁡2(5x))10\int \frac{1}{\tan{\left(5 x \right)}}\, dx = C + \frac{\log{\left(2 \sec^{2}{\left(5 x \right)} - 2 \right)}}{10} - \frac{\log{\left(2 \sec^{2}{\left(5 x \right)} \right)}}{10}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-5000050000
Plot the graph f(x)
The answer [src] 
     pi*I
oo + ----
      5
∞+iπ5\infty + \frac{i \pi}{5} 
=
= 
     pi*I
oo + ----
      5
∞+iπ5\infty + \frac{i \pi}{5} 
oo + pi*i/5
Numerical answer [src] 
8.79868575369327
8.79868575369327
The graph
Integral of dx/tan5x dx

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

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