Mister Exam

Integral of 2cos2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  2*cos(2*x) dx
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$$\int\limits_{0}^{1} 2 \cos{\left(2 x \right)}\, dx$$
Integral(2*cos(2*x), (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Let .

      Then let and substitute :

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

        1. The integral of cosine is sine:

        So, the result is:

      Now substitute back in:

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
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 | 2*cos(2*x) dx = C + sin(2*x)
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$$\int 2 \cos{\left(2 x \right)}\, dx = C + \sin{\left(2 x \right)}$$
The graph
The answer [src]
sin(2)
$$\sin{\left(2 \right)}$$
=
=
sin(2)
$$\sin{\left(2 \right)}$$
sin(2)
Numerical answer [src]
0.909297426825682
0.909297426825682
The graph
Integral of 2cos2x dx

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