integral from 0 to 1 of 11ln(x)

Lösung

\int_{0}^{1} 11 ln (x) d x

- 11

Schritte zur Lösung

\int_{0}^{1} 11 ln (x) d x

Entferne die Konstante:

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

= 11 \cdot \int_{0}^{1} ln (x) d x

Wende die partielle Integration an

= 11 [x ln (x) - \int 1 d x]_{0}^{1}

\int 1 d x = x

= 11 [x ln (x) - x]_{0}^{1}

Berechne die Grenzen:

- 1

= 11 (- 1)

Vereinfache

= - 11

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

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\int_{0}^{\frac{3}{2}} 3 - x^{2} d x

\int_{0}^{1 - x} x^{2} + y^{2} d y

\int_{2}^{4} - x^{3} + 7 x^{2} - 14 x + 8 d x