integral from 6 to 5 of sin(x)

Lösung

\int_{6}^{5} sin (x) d x

cos (6) - cos (5)

Dezimale

0.67650 \dots

Schritte zur Lösung

\int_{6}^{5} sin (x) d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{5}^{6} sin (x) d x

Nutze das gemeinsame Integral :

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

= - [- cos (x)]_{5}^{6}

Berechne die Grenzen:

- cos (6) + cos (5)

= - (- cos (6) + cos (5))

Vereinfache

= cos (6) - cos (5)

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