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Solving integrals/ cos(x)+tg(2x)*ctg(2x)

Integral of cos(x)+tg(2x)*ctg(2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                                
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 |  (cos(x) + tan(2*x)*cot(2*x)) dx
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0
$$\int\limits_{0}^{1} \left(\cos{\left(x \right)} + \tan{\left(2 x \right)} \cot{\left(2 x \right)}\right)\, dx$$ 
Integral(cos(x) + tan(2*x)*cot(2*x), (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of cosine is sine:

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

      But the integral is

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                                
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 | (cos(x) + tan(2*x)*cot(2*x)) dx = C + x + sin(x)
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$$\int \left(\cos{\left(x \right)} + \tan{\left(2 x \right)} \cot{\left(2 x \right)}\right)\, dx = C + x + \sin{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1 + sin(1)
$$\sin{\left(1 \right)} + 1$$ 
=
= 
1 + sin(1)
$$\sin{\left(1 \right)} + 1$$ 
1 + sin(1)
Numerical answer [src] 
1.8414709848079
1.8414709848079

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

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