integral from e to 4 of 1/(4x)

Lösung

\int_{e}^{4} \frac{1}{4 x} d x

\frac{1}{4} (2 ln (2) - 1)

Dezimale

0.09657 \dots

Schritte zur Lösung

\int_{e}^{4} \frac{1}{4 x} d x

Entferne die Konstante:

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

= \frac{1}{4} \cdot \int_{e}^{4} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= \frac{1}{4} [ln ∣ x ∣]_{e}^{4}

Berechne die Grenzen:

2 ln (2) - 1

= \frac{1}{4} (2 ln (2) - 1)

\int_{0}^{2} x (x^{2} + 3)^{2} d x

\int_{0}^{2} x^{t} d t

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

\int_{- 2 π}^{- π} sin (x) d x

\int_{0}^{2} (2 x - cos (4 x)) d x