Mister Exam

Other calculators

Integral of 3*sin(3x-6) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  3                  
  /                  
 |                   
 |  3*sin(3*x - 6) dx
 |                   
/                    
1                    
$$\int\limits_{1}^{3} 3 \sin{\left(3 x - 6 \right)}\, dx$$
Integral(3*sin(3*x - 6), (x, 1, 3))
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. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                    
 |                                     
 | 3*sin(3*x - 6) dx = C - cos(3*x - 6)
 |                                     
/                                      
$$\int 3 \sin{\left(3 x - 6 \right)}\, dx = C - \cos{\left(3 x - 6 \right)}$$
The graph
The answer [src]
0
$$0$$
=
=
0
$$0$$
0
Numerical answer [src]
9.55094643119952e-22
9.55094643119952e-22

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