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Beliebt Rechnen >

integral from 0 to 1 of 5ln(x)

Lösung

\int_{0}^{1} 5 ln (x) d x

Lösung

- 5

Schritte zur Lösung

\int_{0}^{1} 5 ln (x) d x

Entferne die Konstante:

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

= 5 \cdot \int_{0}^{1} ln (x) d x

Wende die partielle Integration an

= 5 [x ln (x) - \int 1 d x]_{0}^{1}

\int 1 d x = x

= 5 [x ln (x) - x]_{0}^{1}

Berechne die Grenzen:

- 1

= 5 (- 1)

Vereinfache

= - 5

Graph

Beliebte Beispiele

taylor f(x)=x*e^{-x+1}

t a y l or f (x) = x \cdot e^{- x + 1}

integral from 1 to e of 1/(x(x^2+1))

\int_{1}^{e} \frac{1}{x ( x ^{2} + 1 )} d x

(dy)/(dx)=y+xy^3

\frac{d y}{d x} = y + x y^{3}

derivative y=2csc(4x^4-2x+5)

d er i v a t i v e y = 2 csc (4 x^{4} - 2 x + 5)

x^{^{''}} + 9 x = 0