Integral of cost dx

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 |  cos(t) dt
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$$\int\limits_{0}^{1} \cos{\left(t \right)}\, dt$$

Integral(cos(t), (t, 0, 1))

Detail solution

The integral of cosine is sine:

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

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

The answer is:

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

The answer (Indefinite) [src]

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

sin(1)

$$\sin{\left(1 \right)}$$

sin(1)

$$\sin{\left(1 \right)}$$

sin(1)

Numerical answer [src]

0.841470984807897

0.841470984807897

The graph

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