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Solving integrals/ 1+ctg^2(x)

Integral of 1+ctg^2(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                 
 --                 
 2                  
  /                 
 |                  
 |  /       2   \   
 |  \1 + cot (x)/ dx
 |                  
/                   
pi                  
--                  
4
$$\int\limits_{\frac{\pi}{4}}^{\frac{\pi}{2}} \left(\cot^{2}{\left(x \right)} + 1\right)\, dx$$ 
Integral(1 + cot(x)^2, (x, pi/4, pi/2))
Detail solution

  1. Integrate term-by-term:

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

      But the integral is

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                              
 | /       2   \          cos(x)
 | \1 + cot (x)/ dx = C - ------
 |                        sin(x)
/
$$\int \left(\cot^{2}{\left(x \right)} + 1\right)\, dx = C - \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1
$$1$$ 
=
= 
1
$$1$$ 
1
Numerical answer [src] 
1.0
1.0

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

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