Mister Exam

Integral of -cos(x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

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

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                       
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 | -cos(x) dx = C - sin(x)
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$$\int \left(- \cos{\left(x \right)}\right)\, dx = C - \sin{\left(x \right)}$$
The graph
The answer [src]
-sin(1)
$$- \sin{\left(1 \right)}$$
=
=
-sin(1)
$$- \sin{\left(1 \right)}$$
-sin(1)
Numerical answer [src]
-0.841470984807897
-0.841470984807897
The graph
Integral of -cos(x) dx

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