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Solving integrals/ sin(1-5x)dx

Integral of sin(1-5x)dx dx

Limits of integration:

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The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0                
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 |  sin(1 - 5*x) dx
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$$\int\limits_{0}^{0} \sin{\left(1 - 5 x \right)}\, dx$$ 
Integral(sin(1 - 5*x), (x, 0, 0))
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(-1 + 5*x)
 | sin(1 - 5*x) dx = C + -------------
 |                             5      
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$$\int \sin{\left(1 - 5 x \right)}\, dx = C + \frac{\cos{\left(5 x - 1 \right)}}{5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
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$$0$$ 
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Numerical answer [src] 
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    Use the examples entering the upper and lower limits of integration.

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