integral from 4 to 7 of x^3ln(4x)

Lösung

\int_{4}^{7} x^{3} ln (4 x) d x

- 256 ln (2) - \frac{2145}{16} + \frac{2401}{4} ln (28)

Dezimale

1688.64757 \dots

Schritte zur Lösung

\int_{4}^{7} x^{3} ln (4 x) d x

Wende die partielle Integration an

= [\frac{1}{4} x^{4} ln (4 x) - \int \frac{x ^{3}}{4} d x]_{4}^{7}

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

= [\frac{1}{4} x^{4} ln (4 x) - \frac{x ^{4}}{16}]_{4}^{7}

Berechne die Grenzen:

- 256 ln (2) - \frac{2145}{16} + \frac{2401}{4} ln (28)

= - 256 ln (2) - \frac{2145}{16} + \frac{2401}{4} ln (28)

d er i v a t i v e e^{\frac{7}{u}}

\frac{d x}{d t} = x - 2

\int csc (\frac{3}{4}) x cot (\frac{3}{4}) x d x

\frac{d x}{d t} + \frac{10 x}{20000 - 5 t} = 5

n = 0 \sum \infty \frac{n ^{n}}{2 ^{n}}