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Beliebt Rechnen >

integral from 0 to 2 of ln(x^2)

Lösung

\int_{0}^{2} ln (x^{2}) d x

Lösung

4 ln (2) - 4

+1

Dezimale

- 1.22741 \dots

Schritte zur Lösung

\int_{0}^{2} ln (x^{2}) d x

Wende die partielle Integration an

= [x ln (x^{2}) - \int 2 d x]_{0}^{2}

\int 2 d x = 2 x

= [x ln (x^{2}) - 2 x]_{0}^{2}

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]_{0}^{2}

Berechne die Grenzen:

4 ln (2) - 4

= 4 ln (2) - 4

Graph

Beliebte Beispiele

(\partial)/(\partial x)(1/2 (a+b)h)

\frac{\partial}{\partial x} (\frac{1}{2} (a + b) h)

laplacetransform sin(0)

l a pl a ce t r an s f or m sin (0)

f(t)=e^{e^{e^{e^t}}}

f (t) = e^{e^{e^{e^{t}}}}

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

integral of (3x)/((x^2+1)^{3/5)}

\int \frac{3 x}{( x ^{2} + 1 ) ^{\frac{3}{5}}} d x