Integral of Cos(x) dx

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pi

$$\int\limits_{\pi}^{\frac{\pi}{2}} \cos{\left(x \right)}\, dx$$

Integral(cos(x), (x, pi, pi/2))

Detail solution

The integral of cosine is sine:

$\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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 | cos(x) dx = C + sin(x)
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$$\int \cos{\left(x \right)}\, dx = C + \sin{\left(x \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$1$$

Numerical answer [src]

1.0

1.0

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