integral from 0 to 3 of 2e^x

Lösung

\int_{0}^{3} 2 e^{x} d x

2 (e^{3} - 1)

Dezimale

38.17107 \dots

Schritte zur Lösung

\int_{0}^{3} 2 e^{x} d x

Entferne die Konstante:

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

= 2 \cdot \int_{0}^{3} e^{x} d x

Nutze das gemeinsame Integral :

\int e^{x} d x = e^{x}

= 2 [e^{x}]_{0}^{3}

Berechne die Grenzen:

e^{3} - 1

= 2 (e^{3} - 1)

\frac{d}{d x} (ln (x) - \frac{x ^{2}}{8})

x \to - 3 lim ((x - 5) (x + 4))

\int_{0}^{\infty} \frac{1}{4 + x} d x

x \to 0 lim (\frac{x}{1 - ( x - 1 ) ^{2}})

t \to 0 + lim (arctan (ln (t)))