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Beliebt Rechnen >

integral from 7 to 15 of ln(x^2)

Lösung

\int_{7}^{15} ln (x^{2}) d x

Lösung

30 ln (15) - 16 - 14 ln (7)

+1

Dezimale

37.99876 \dots

Schritte zur Lösung

\int_{7}^{15} ln (x^{2}) d x

Wende die partielle Integration an

= [x ln (x^{2}) - \int 2 d x]_{7}^{15}

\int 2 d x = 2 x

= [x ln (x^{2}) - 2 x]_{7}^{15}

Wende log Regel an

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

angenommen

x \geq 0

= [2 x ln (x) - 2 x]_{7}^{15}

Berechne die Grenzen:

30 ln (15) - 16 - 14 ln (7)

= 30 ln (15) - 16 - 14 ln (7)

Graph

Beliebte Beispiele

y^{^{'}} = \frac{x ^{8} - 2 y}{x}

derivative ln(csc(x)-cot(x))

d er i v a t i v e ln (csc (x) - cot (x))

integral of (x+5)/(x^2-16)

\int \frac{x + 5}{x ^{2} - 16} d x

limit as x approaches 0 of x^{x^6}

x \to 0 lim (x^{x^{6}})

derivative f(x)=(x^6)/(8^x)

d er i v a t i v e f (x) = \frac{x ^{6}}{8 ^{x}}