Mister Exam

Integral of 12sin3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  12*sin(3*x) dx
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$$\int\limits_{0}^{1} 12 \sin{\left(3 x \right)}\, dx$$
Integral(12*sin(3*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 sine is negative cosine:

        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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 | 12*sin(3*x) dx = C - 4*cos(3*x)
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$$\int 12 \sin{\left(3 x \right)}\, dx = C - 4 \cos{\left(3 x \right)}$$
The graph
The answer [src]
4 - 4*cos(3)
$$4 - 4 \cos{\left(3 \right)}$$
=
=
4 - 4*cos(3)
$$4 - 4 \cos{\left(3 \right)}$$
4 - 4*cos(3)
Numerical answer [src]
7.95996998640178
7.95996998640178

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