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cot^4(2x)

Integral of cot^4(2x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |     4        
 |  cot (2*x) dx
 |              
/               
0               
$$\int\limits_{0}^{1} \cot^{4}{\left(2 x \right)}\, dx$$
Integral(cot(2*x)^4, (x, 0, 1))
The answer (Indefinite) [src]
  /                                               
 |                                         3      
 |    4                    cos(2*x)     cos (2*x) 
 | cot (2*x) dx = C + x + ---------- - -----------
 |                        2*sin(2*x)        3     
/                                      6*sin (2*x)
$$\int \cot^{4}{\left(2 x \right)}\, dx = C + x + \frac{\cos{\left(2 x \right)}}{2 \sin{\left(2 x \right)}} - \frac{\cos^{3}{\left(2 x \right)}}{6 \sin^{3}{\left(2 x \right)}}$$
The graph
The answer [src]
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$$\infty$$
=
=
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$$\infty$$
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Numerical answer [src]
4.8839445152866e+55
4.8839445152866e+55
The graph
Integral of cot^4(2x) dx

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