Mister Exam

Integral of 3sin3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 pi              
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 |  3*sin(3*x) dx
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$$\int\limits_{0}^{\frac{\pi}{6}} 3 \sin{\left(3 x \right)}\, dx$$
Integral(3*sin(3*x), (x, 0, pi/6))
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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 | 3*sin(3*x) dx = C - cos(3*x)
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$$\int 3 \sin{\left(3 x \right)}\, dx = C - \cos{\left(3 x \right)}$$
The graph
The answer [src]
1
$$1$$
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=
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$$1$$
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Numerical answer [src]
1.0
1.0
The graph
Integral of 3sin3x dx

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