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

Lösung

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

\frac{16807}{5} ln (14) - \frac{16807}{25} - (\frac{3072}{5} ln (2) - \frac{1024}{25})

Dezimale

7813.73768 \dots

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{4}^{7} x^{4} ln (2 x) d x = \frac{16807}{5} ln (14) - \frac{16807}{25} - (\frac{3072}{5} ln (2) - \frac{1024}{25})

= \frac{16807}{5} ln (14) - \frac{16807}{25} - (\frac{3072}{5} ln (2) - \frac{1024}{25})

x \to 8 lim (\frac{x ^{8}}{x - 8})

\int - \frac{10}{t + 7} d t

\frac{d}{d x} (3 x^{2} + 8 x)

\frac{d y}{d x} = 6 x^{2} - x^{2} y

s l o p e x y - 3 y^{2} = 6, (9, 2)