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

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

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

\int_{\frac{π}{2}}^{2 π} cos (x) d x

- 1

Solution steps

\int_{\frac{π}{2}}^{2 π} cos (x) d x

Use the common integral:

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

= [sin (x)]_{\frac{π}{2}}^{2 π}

Compute the boundaries:

- 1

= - 1

\int_{- π}^{π} e^{x} e^{- in x} d x

\int_{1}^{3} x + 6 d x

\int_{0}^{x} sin (8 u) d u

\int_{0}^{x^{2} + y^{2}} 1 d z

\int_{0}^{3} \frac{6}{7 x + 5} d x

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