integral from 1 to 6 of t^4ln(4t)

Lösung

\int_{1}^{6} t^{4} ln (4 t) d t

- 311 - \frac{2}{5} ln (2) + \frac{7776}{5} ln (24)

Dezimale

4631.23205 \dots

Schritte zur Lösung

\int_{1}^{6} t^{4} ln (4 t) d t

Berechne das unbestimmte Integral:

\int t^{4} ln (4 t) d t = \frac{1}{5} t^{5} ln (4 t) - \frac{t ^{5}}{25} + C

Berechne die Grenzen:

\int_{1}^{6} t^{4} ln (4 t) d t = \frac{7776}{5} ln (24) - \frac{7776}{25} - (\frac{2}{5} ln (2) - \frac{1}{25})

= \frac{7776}{5} ln (24) - \frac{7776}{25} - (\frac{2}{5} ln (2) - \frac{1}{25})

Vereinfache

= - 311 - \frac{2}{5} ln (2) + \frac{7776}{5} ln (24)

\frac{d}{d x} (5 π^{2})

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in v erse l a pl a ce \frac{4 s}{s ^{2} - 16}

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