integral from 3 to 8 of t^3ln(t)

Lösung

\int_{3}^{8} t^{3} ln (t) d t

3072 ln (2) - \frac{4015}{16} - \frac{81}{4} ln (3)

Dezimale

1856.16373 \dots

Schritte zur Lösung

\int_{3}^{8} t^{3} ln (t) d t

Wende die partielle Integration an

= [\frac{1}{4} t^{4} ln (t) - \int \frac{t ^{3}}{4} d t]_{3}^{8}

\int \frac{t ^{3}}{4} d t = \frac{t ^{4}}{16}

= [\frac{1}{4} t^{4} ln (t) - \frac{t ^{4}}{16}]_{3}^{8}

Berechne die Grenzen:

3072 ln (2) - \frac{4015}{16} - \frac{81}{4} ln (3)

= 3072 ln (2) - \frac{4015}{16} - \frac{81}{4} ln (3)

\int_{0}^{1} \frac{( e ^{- x} )}{x} d x

\int_{- 4}^{- 3} x^{2} d x

\int_{2}^{3} \frac{1}{x x ^{2} - 1} d x

\int_{0}^{1} x e^{- 6 x} d x

\int_{- 2}^{2} (e^{- x^{2}}) d x