integral from 3 to 4 of ln(x^2)

Lösung

\int_{3}^{4} ln (x^{2}) d x

16 ln (2) - 2 - 6 ln (3)

Dezimale

2.49868 \dots

Schritte zur Lösung

\int_{3}^{4} ln (x^{2}) d x

Wende die partielle Integration an

= [x ln (x^{2}) - \int 2 d x]_{3}^{4}

\int 2 d x = 2 x

= [x ln (x^{2}) - 2 x]_{3}^{4}

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]_{3}^{4}

Berechne die Grenzen:

16 ln (2) - 2 - 6 ln (3)

= 16 ln (2) - 2 - 6 ln (3)

\int_{0}^{T} e^{- x y} d x

\int_{2}^{5} x x - 2 d x

\int_{- 1}^{4} ∣ 2 x ∣ d x

\int_{- 1}^{2} x^{2} + 3 d x

\int_{0}^{4} x^{2} 1 + 4 x^{2} d x