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Solving integrals/ ctgxsin2x

Integral of ctgxsin2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. There are multiple ways to do this integral.

    Method #1

    1. The integral of a constant times a function is the constant times the integral of the function:

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

        But the integral is

      So, the result is:

    Method #2

    1. Rewrite the integrand:

    2. The integral of a constant times a function is the constant times the integral of the function:

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

        But the integral is

      So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                          
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 | cot(x)*sin(2*x) dx = C + x + cos(x)*sin(x)
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$$\int \sin{\left(2 x \right)} \cot{\left(x \right)}\, dx = C + x + \sin{\left(x \right)} \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1 + cos(1)*sin(1)
$$\sin{\left(1 \right)} \cos{\left(1 \right)} + 1$$ 
=
= 
1 + cos(1)*sin(1)
$$\sin{\left(1 \right)} \cos{\left(1 \right)} + 1$$ 
1 + cos(1)*sin(1)
Numerical answer [src] 
1.45464871341284
1.45464871341284

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

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