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Integral of 3*sqrt(2-2*cos(t)) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
 2*pi                     
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  |      ______________   
  |  3*\/ 2 - 2*cos(t)  dt
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 pi                       
$$\int\limits_{\pi}^{2 \pi} 3 \sqrt{2 - 2 \cos{\left(t \right)}}\, dt$$
Integral(3*sqrt(2 - 2*cos(t)), (t, pi, 2*pi))
The answer (Indefinite) [src]
  /                                      /                 
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 |     ______________              ___  |   ____________   
 | 3*\/ 2 - 2*cos(t)  dt = C + 3*\/ 2 * | \/ 1 - cos(t)  dt
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$$\int 3 \sqrt{2 - 2 \cos{\left(t \right)}}\, dt = C + 3 \sqrt{2} \int \sqrt{1 - \cos{\left(t \right)}}\, dt$$
Numerical answer [src]
12.0
12.0

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