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cos(x)-1

Integral of cos(x)-1 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
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01(cos(x)1)dx\int\limits_{0}^{1} \left(\cos{\left(x \right)} - 1\right)\, dx
Integral(cos(x) - 1, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. The integral of cosine is sine:

      cos(x)dx=sin(x)\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}

    1. The integral of a constant is the constant times the variable of integration:

      (1)dx=x\int \left(-1\right)\, dx = - x

    The result is: x+sin(x)- x + \sin{\left(x \right)}

  2. Add the constant of integration:

    x+sin(x)+constant- x + \sin{\left(x \right)}+ \mathrm{constant}


The answer is:

x+sin(x)+constant- x + \sin{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src]
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 | (cos(x) - 1) dx = C - x + sin(x)
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(cos(x)1)dx=Cx+sin(x)\int \left(\cos{\left(x \right)} - 1\right)\, dx = C - x + \sin{\left(x \right)}
The graph
0.001.000.100.200.300.400.500.600.700.800.900.5-0.5
The answer [src]
-1 + sin(1)
1+sin(1)-1 + \sin{\left(1 \right)}
=
=
-1 + sin(1)
1+sin(1)-1 + \sin{\left(1 \right)}
-1 + sin(1)
Numerical answer [src]
-0.158529015192103
-0.158529015192103
The graph
Integral of cos(x)-1 dx

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