Mister Exam

Integral of -2cosx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
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01(2cos(x))dx\int\limits_{0}^{1} \left(- 2 \cos{\left(x \right)}\right)\, dx
Integral(-2*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:

    (2cos(x))dx=2cos(x)dx\int \left(- 2 \cos{\left(x \right)}\right)\, dx = - 2 \int \cos{\left(x \right)}\, dx

    1. The integral of cosine is sine:

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

    So, the result is: 2sin(x)- 2 \sin{\left(x \right)}

  2. Add the constant of integration:

    2sin(x)+constant- 2 \sin{\left(x \right)}+ \mathrm{constant}


The answer is:

2sin(x)+constant- 2 \sin{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src]
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 | -2*cos(x) dx = C - 2*sin(x)
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2sinx-2\,\sin x
The graph
0.001.000.100.200.300.400.500.600.700.800.902-4
The answer [src]
-2*sin(1)
2sin1-2\,\sin 1
=
=
-2*sin(1)
2sin(1)- 2 \sin{\left(1 \right)}
Numerical answer [src]
-1.68294196961579
-1.68294196961579
The graph
Integral of -2cosx dx

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