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sin(y)
Solving integrals/ sin(y)

Integral of sin(y) 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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 |  sin(y) dy
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∫01sin⁡(y) dy\int\limits_{0}^{1} \sin{\left(y \right)}\, dy 
Integral(sin(y), (y, 0, 1))
Detail solution

  1. The integral of sine is negative cosine:

    ∫sin⁡(y) dy=−cos⁡(y)\int \sin{\left(y \right)}\, dy = - \cos{\left(y \right)}

  2. Add the constant of integration:

    −cos⁡(y)+constant- \cos{\left(y \right)}+ \mathrm{constant}

The answer is:

−cos⁡(y)+constant- \cos{\left(y \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | sin(y) dy = C - cos(y)
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∫sin⁡(y) dy=C−cos⁡(y)\int \sin{\left(y \right)}\, dy = C - \cos{\left(y \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.902-2
Plot the graph f(x)
The answer [src] 
1 - cos(1)
1−cos⁡(1)1 - \cos{\left(1 \right)} 
=
= 
1 - cos(1)
1−cos⁡(1)1 - \cos{\left(1 \right)} 
1 - cos(1)
Numerical answer [src] 
0.45969769413186
0.45969769413186
The graph
Integral of sin(y) dx

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

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