integral from 0 to 3 of (3t-1)^{58}

Lösung

\int_{0}^{3} (3 t - 1)^{58} d t

\frac{8 ^{59} + 1}{177}

Dezimale

1.08227 E 51

Schritte zur Lösung

\int_{0}^{3} (3 t - 1)^{58} d t

Wende U-Substitution an

= \int_{- 1}^{8} \frac{u ^{58}}{3} d u

Entferne die Konstante:

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

= \frac{1}{3} \cdot \int_{- 1}^{8} u^{58} d u

Wende die Potenzregel an

= \frac{1}{3} [\frac{u ^{59}}{59}]_{- 1}^{8}

Berechne die Grenzen:

\frac{8 ^{59}}{59} + \frac{1}{59}

= \frac{1}{3} (\frac{8 ^{59}}{59} + \frac{1}{59})

Vereinfache

= \frac{8 ^{59} + 1}{177}

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