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ctg(x)^4+ctg(x)^2

Integral of ctg(x)^4+ctg(x)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                       
  /                       
 |                        
 |  /   4         2   \   
 |  \cot (x) + cot (x)/ dx
 |                        
/                         
0                         
$$\int\limits_{0}^{1} \left(\cot^{4}{\left(x \right)} + \cot^{2}{\left(x \right)}\right)\, dx$$
Integral(cot(x)^4 + cot(x)^2, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. Don't know the steps in finding this integral.

      But the integral is

    1. Don't know the steps in finding this integral.

      But the integral is

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                      
 |                                  3    
 | /   4         2   \           cos (x) 
 | \cot (x) + cot (x)/ dx = C - ---------
 |                                   3   
/                               3*sin (x)
$$\int \left(\cot^{4}{\left(x \right)} + \cot^{2}{\left(x \right)}\right)\, dx = C - \frac{\cos^{3}{\left(x \right)}}{3 \sin^{3}{\left(x \right)}}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
Numerical answer [src]
7.81431122445857e+56
7.81431122445857e+56
The graph
Integral of ctg(x)^4+ctg(x)^2 dx

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