integral from 0 to 2pi of 5xsqrt(2)

Lösung

\int_{0}^{2 π} 5 x 2 d x

102 π^{2}

Dezimale

139.57728 \dots

Schritte zur Lösung

\int_{0}^{2 π} 5 x 2 d x

Entferne die Konstante:

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

= 52 \cdot \int_{0}^{2 π} x d x

Wende die Potenzregel an

= 52 [\frac{x ^{2}}{2}]_{0}^{2 π}

Berechne die Grenzen:

2 π^{2}

= 52 \cdot 2 π^{2}

Vereinfache

= 102 π^{2}

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