Integral of sin(y) dx

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  1          
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 |  sin(y) dy
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$$\int\limits_{0}^{1} \sin{\left(y \right)}\, dy$$

Integral(sin(y), (y, 0, 1))

Detail solution

The integral of sine is negative cosine:

$\int \sin{\left(y \right)}\, dy = - \cos{\left(y \right)}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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 | sin(y) dy = C - cos(y)
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$$\int \sin{\left(y \right)}\, dy = C - \cos{\left(y \right)}$$

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

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