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

Lösung

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

0

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

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

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

Vereinfache

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

Berechne die Grenzen:

0

= 0

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