integral from 0 to 1 of 7tcosh(t)

Lösung

\int_{0}^{1} 7 t cosh (t) d t

7 (- \frac{1}{e} + 1)

Dezimale

4.42484 \dots

Schritte zur Lösung

\int_{0}^{1} 7 t cosh (t) d t

Entferne die Konstante:

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

= 7 \cdot \int_{0}^{1} t cosh (t) d t

Wende die partielle Integration an

= 7 [t sinh (t) - \int sinh (t) d t]_{0}^{1}

\int sinh (t) d t = cosh (t)

= 7 [t sinh (t) - cosh (t)]_{0}^{1}

Berechne die Grenzen:

- \frac{1}{e} + 1

= 7 (- \frac{1}{e} + 1)

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