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

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

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integral from-pi/2 to pi/2 of cos(θ)

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

2

Solution steps

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

Use the common integral:

\int cos (θ) d θ = sin (θ)

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

Compute the boundaries:

2

= 2

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

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