Mister Exam

Integral of 8cos(4x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  8*cos(4*x) dx
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$$\int\limits_{0}^{1} 8 \cos{\left(4 x \right)}\, dx$$
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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 | 8*cos(4*x) dx = C + 2*sin(4*x)
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$$2\,\sin \left(4\,x\right)$$
The graph
The answer [src]
2*sin(4)
$$2\,\sin 4$$
=
=
2*sin(4)
$$2 \sin{\left(4 \right)}$$
Numerical answer [src]
-1.51360499061586
-1.51360499061586
The graph
Integral of 8cos(4x) dx

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