Integral of cos(2x)*dt dx

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 pi              
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 |  cos(2*x)*1 dt
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$$\int\limits_{0}^{\pi} \cos{\left(2 x \right)} 1\, dt$$

Integral(cos(2*x)*1, (t, 0, pi))

Detail solution

The integral of a constant is the constant times the variable of integration:

$\int \cos{\left(2 x \right)} 1\, dt = t \cos{\left(2 x \right)}$
Add the constant of integration:

$t \cos{\left(2 x \right)}+ \mathrm{constant}$

The answer is:

$t \cos{\left(2 x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | cos(2*x)*1 dt = C + t*cos(2*x)
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$$t\,\cos \left(2\,x\right)$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

pi*cos(2*x)

$$\pi\,\cos \left(2\,x\right)$$

pi*cos(2*x)

$$\pi \cos{\left(2 x \right)}$$

Simplify

The graph

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