integral from 3 to 6 of t^2ln(t)

Lösung

\int_{3}^{6} t^{2} ln (t) d t

9 ln (559872) - 21

Dezimale

98.11917 \dots

Schritte zur Lösung

\int_{3}^{6} t^{2} ln (t) d t

Wende die partielle Integration an

= [\frac{1}{3} t^{3} ln (t) - \int \frac{t ^{2}}{3} d t]_{3}^{6}

\int \frac{t ^{2}}{3} d t = \frac{t ^{3}}{9}

= [\frac{1}{3} t^{3} ln (t) - \frac{t ^{3}}{9}]_{3}^{6}

Berechne die Grenzen:

72 ln (6) - 21 - 9 ln (3)

= 72 ln (6) - 21 - 9 ln (3)

Vereinfache

= 9 ln (559872) - 21

\int_{- \frac{π}{3}}^{\frac{π}{3}} csc^{2} (x) d x

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