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

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

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

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

2

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

2

= 2

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