integral from 0 to 1 of 8ln(x)

Lösung

\int_{0}^{1} 8 ln (x) d x

- 8

Schritte zur Lösung

\int_{0}^{1} 8 ln (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 8 \cdot \int_{0}^{1} ln (x) d x

Wende die partielle Integration an

= 8 [x ln (x) - \int 1 d x]_{0}^{1}

\int 1 d x = x

= 8 [x ln (x) - x]_{0}^{1}

Berechne die Grenzen:

- 1

= 8 (- 1)

Vereinfache

= - 8

n = 1 \sum \infty \frac{8}{( n + 1 ) !}

ma c l a u r in 1 - \frac{x}{3}

\int \frac{1 + tan ( x )}{1 - tan ( x )} d x

x \to \infty lim ((1 - \frac{1}{4 x})^{8 x})

\int \frac{1}{x ^{2} e ^{\frac{1}{x}}} d x