integral from 2 to 7 of t^4ln(2t)

Lösung

\int_{2}^{7} t^{4} ln (2 t) d t

- 671 - \frac{64}{5} ln (2) + \frac{16807}{5} ln (14)

Dezimale

8191.05502 \dots

Schritte zur Lösung

\int_{2}^{7} t^{4} ln (2 t) d t

Berechne das unbestimmte Integral:

\int t^{4} ln (2 t) d t = \frac{1}{5} t^{5} ln (2 t) - \frac{t ^{5}}{25} + C

Berechne die Grenzen:

\int_{2}^{7} t^{4} ln (2 t) d t = \frac{16807}{5} ln (14) - \frac{16807}{25} - (\frac{64}{5} ln (2) - \frac{32}{25})

= \frac{16807}{5} ln (14) - \frac{16807}{25} - (\frac{64}{5} ln (2) - \frac{32}{25})

Vereinfache

= - 671 - \frac{64}{5} ln (2) + \frac{16807}{5} ln (14)

\frac{d}{d x} (ln (ln (4 x)))

d er i v a t i v e \frac{x ^{2} - 4 x}{x + 1}

y^{^{''}} + 2 y^{^{'}} = sin (x)

\frac{d}{d x} (sec^{2} (3 x) \cdot 3)

x \to - 10 - lim (4 x + 40)