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Beliebt Rechnen >

integral from 0 to 1 of (3x+1)cos(x)

Lösung

\int_{0}^{1} (3 x + 1) cos (x) d x

Lösung

4 sin (1) + 3 cos (1) - 3

+1

Dezimale

1.98679 \dots

Schritte zur Lösung

\int_{0}^{1} (3 x + 1) cos (x) d x

Wende die partielle Integration an

= [(3 x + 1) sin (x) - \int 3 sin (x) d x]_{0}^{1}

\int 3 sin (x) d x = - 3 cos (x)

= [(3 x + 1) sin (x) - (- 3 cos (x))]_{0}^{1}

Vereinfache

= [sin (x) (3 x + 1) + 3 cos (x)]_{0}^{1}

Berechne die Grenzen:

4 sin (1) + 3 cos (1) - 3

= 4 sin (1) + 3 cos (1) - 3

Graph

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