integral from 0 to t of tcos(x)

Lösung

\int_{0}^{t} t cos (x) d x

t sin (t)

Schritte zur Lösung

\int_{0}^{t} t cos (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= t \cdot \int_{0}^{t} cos (x) d x

Nutze das gemeinsame Integral :

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

= t [sin (x)]_{0}^{t}

Berechne die Grenzen:

sin (t)

= t sin (t)

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