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

The integral from pi/2 to (3pi)/2 of cos(θ) is -2

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integral from pi/2 to (3pi)/2 of cos(θ)

\int_{\frac{π}{2}}^{\frac{3 π}{2}} cos (θ) d θ

- 2

Solution steps

\int_{\frac{π}{2}}^{\frac{3 π}{2}} cos (θ) d θ

Use the common integral:

\int cos (θ) d θ = sin (θ)

= [sin (θ)]_{\frac{π}{2}}^{\frac{3 π}{2}}

Compute the boundaries:

- 2

= - 2

\int_{0}^{5} 15 x^{3} - 2 d x

\int_{0}^{5} (10 x + 7) d x

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

\int_{- π}^{π} sin^{2} (x) cos (x) d x

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