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-sinx
Solving integrals/ -sinx

Integral of -sinx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
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 |  -sin(x) dx
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0
$$\int\limits_{0}^{1} \left(- \sin{\left(x \right)}\right)\, dx$$ 
Integral(-sin(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. The integral of sine is negative cosine:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                       
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 | -sin(x) dx = C + cos(x)
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$$\int \left(- \sin{\left(x \right)}\right)\, dx = C + \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1 + cos(1)
$$-1 + \cos{\left(1 \right)}$$ 
=
= 
-1 + cos(1)
$$-1 + \cos{\left(1 \right)}$$ 
-1 + cos(1)
Numerical answer [src] 
-0.45969769413186
-0.45969769413186
The graph
Integral of -sinx dx

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

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