What is the integral from 0 to (3pi)/2 of cos(x) ?

The integral from 0 to (3pi)/2 of cos(x) is -1

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integral from 0 to (3pi)/2 of cos(x)

\int_{0}^{\frac{3 π}{2}} cos (x) d x

- 1

Solution steps

\int_{0}^{\frac{3 π}{2}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{0}^{\frac{3 π}{2}}

Compute the boundaries:

- 1

= - 1

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What is the integral from 0 to (3pi)/2 of cos(x) ?
The integral from 0 to (3pi)/2 of cos(x) is -1