integral from 0 to 2pi of integral from 0 to a of p

Lösung

\int_{0}^{2 π} \int_{0}^{a} p d p d t

π a^{2}

Schritte zur Lösung

\int_{0}^{2 π} \int_{0}^{a} p d p d t

\int_{0}^{a} p d p = \frac{a ^{2}}{2}

= \int_{0}^{2 π} (\frac{a ^{2}}{2}) d t

\int_{0}^{2 π} (\frac{a ^{2}}{2}) d t = π a^{2}

= π a^{2}

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