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

The integral from pi to (3pi)/2 of sin(x) is -1

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

\int_{π}^{\frac{3 π}{2}} sin (x) d x

- 1

Solution steps

\int_{π}^{\frac{3 π}{2}} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{π}^{\frac{3 π}{2}}

Compute the boundaries:

- 1

= - 1

\int_{0}^{6} 4 d x

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

\int_{1}^{e} 2 π x ln (x) d x

\int_{0}^{1} 1 - x^{2} x d x

\int_{0}^{0.5} 3 x^{2} d x

What is the integral from pi to (3pi)/2 of sin(x) ?
The integral from pi to (3pi)/2 of sin(x) is -1