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Beliebt Rechnen >

integral from pi to (3pi)/2 of xsin(x)

Lösung

\int_{π}^{\frac{3 π}{2}} x sin (x) d x

Lösung

- 1 - π

+1

Dezimale

- 4.14159 \dots

Schritte zur Lösung

\int_{π}^{\frac{3 π}{2}} x sin (x) d x

Wende die partielle Integration an

= [- x cos (x) - \int - cos (x) d x]_{π}^{\frac{3 π}{2}}

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

= [- x cos (x) - (- sin (x))]_{π}^{\frac{3 π}{2}}

Vereinfache

= [- x cos (x) + sin (x)]_{π}^{\frac{3 π}{2}}

Berechne die Grenzen:

- 1 - π

= - 1 - π

Graph

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