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sin(2-3x)dx
Solving integrals/ sin(2-3x)dx

Integral of sin(2-3x)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |  sin(2 - 3*x)*1 dx
 |                   
/                    
0
$$\int\limits_{0}^{1} \sin{\left(- 3 x + 2 \right)} 1\, dx$$ 
Integral(sin(2 - 3*x)*1, (x, 0, 1))
Detail solution

  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:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                     
 |                         cos(-2 + 3*x)
 | sin(2 - 3*x)*1 dx = C + -------------
 |                               3      
/
$${{\cos \left(3\,x-2\right)}\over{3}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  cos(2)   cos(1)
- ------ + ------
    3        3
$$-{{\cos 2-\cos 1}\over{3}}$$ 
=
= 
  cos(2)   cos(1)
- ------ + ------
    3        3
$$- \frac{\cos{\left(2 \right)}}{3} + \frac{\cos{\left(1 \right)}}{3}$$
Simplify
Numerical answer [src] 
0.318816380805094
0.318816380805094
The graph
Integral of sin(2-3x)dx dx

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

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