What is the integral from 2pi to 3pi of sin(x) ?

The integral from 2pi to 3pi of sin(x) is 2

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integral from 2pi to 3pi of sin(x)

\int_{2 π}^{3 π} sin (x) d x

2

Solution steps

\int_{2 π}^{3 π} sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= [- cos (x)]_{2 π}^{3 π}

Compute the boundaries:

2

= 2

\int_{0}^{2} e^{- y} d y

\int_{1}^{4} \frac{1}{x} - \frac{1}{x ^{2}} d x

\int_{1}^{3} 5 x^{4} d x

\int_{1}^{2} \frac{x - 1}{x} d x

\int_{2}^{5} c (1 + x) d x

What is the integral from 2pi to 3pi of sin(x) ?
The integral from 2pi to 3pi of sin(x) is 2