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

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

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

\int_{π}^{\frac{3 π}{2}} cos (x) d x

- 1

Solution steps

\int_{π}^{\frac{3 π}{2}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{π}^{\frac{3 π}{2}}

Compute the boundaries:

- 1

= - 1

\int_{0}^{1} (x^{2} + x) d x

\int_{2}^{3} \frac{1}{x - 2} d x

\int_{0}^{2} π (x^{3})^{2} d x

\int_{0}^{π} sin (θ) cos^{2} (θ) d θ

\int_{0}^{π} sin (5 x + π) d x

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