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Solving integrals/ 1/tan(x)^(8)

Integral of 1/tan(x)^(8) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     1      
 |  ------- dx
 |     8      
 |  tan (x)   
 |            
/             
0
∫011tan⁡8(x) dx\int\limits_{0}^{1} \frac{1}{\tan^{8}{\left(x \right)}}\, dx 
Integral(1/(tan(x)^8), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                               
 |                                   3           7           5    
 |    1                 cos(x)    cos (x)     cos (x)     cos (x) 
 | ------- dx = C + x + ------ - --------- - --------- + ---------
 |    8                 sin(x)        3           7           5   
 | tan (x)                       3*sin (x)   7*sin (x)   5*sin (x)
 |                                                                
/
∫1tan⁡8(x) dx=C+x+cos⁡(x)sin⁡(x)−cos⁡3(x)3sin⁡3(x)+cos⁡5(x)5sin⁡5(x)−cos⁡7(x)7sin⁡7(x)\int \frac{1}{\tan^{8}{\left(x \right)}}\, dx = C + x + \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{\cos^{3}{\left(x \right)}}{3 \sin^{3}{\left(x \right)}} + \frac{\cos^{5}{\left(x \right)}}{5 \sin^{5}{\left(x \right)}} - \frac{\cos^{7}{\left(x \right)}}{7 \sin^{7}{\left(x \right)}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.902e32-1e32
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
6.80884325415506e+132
6.80884325415506e+132

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

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