What is the integral from (-pi)/4 to pi/4 of sin(x) ?

The integral from (-pi)/4 to pi/4 of sin(x) is 0

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integral from (-pi)/4 to pi/4 of sin(x)

\int_{\frac{- π}{4}}^{\frac{π}{4}} sin (x) d x

0

Solution steps

\int_{\frac{- π}{4}}^{\frac{π}{4}} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{\frac{- π}{4}}^{\frac{π}{4}}

Simplify

= [- cos (x)]_{- \frac{π}{4}}^{\frac{π}{4}}

Compute the boundaries:

0

= 0

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What is the integral from (-pi)/4 to pi/4 of sin(x) ?
The integral from (-pi)/4 to pi/4 of sin(x) is 0