integral from 0 to 1 of sin(x)x

Lösung

\int_{0}^{1} sin (x) x d x

sin (1) - cos (1)

Dezimale

0.30116 \dots

Schritte zur Lösung

\int_{0}^{1} sin (x) x d x

Wende die partielle Integration an

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

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

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

Vereinfache

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

Berechne die Grenzen:

sin (1) - cos (1)

= sin (1) - cos (1)

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