de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-e to 0 of e^{2x}

Lösung

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

Lösung

\frac{e ^{2 e} - 1}{2 e ^{2 e}}

+1

Dezimale

0.49782 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{- 2 e}^{0} e^{u} \frac{1}{2} d u

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{- 2 e}^{0} e^{u} d u

Nutze das gemeinsame Integral :

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

= \frac{1}{2} [e^{u}]_{- 2 e}^{0}

Berechne die Grenzen:

1 - \frac{1}{e ^{2 e}}

= \frac{1}{2} (1 - \frac{1}{e ^{2 e}})

Vereinfache

= \frac{e ^{2 e} - 1}{2 e ^{2 e}}

Graph

Beliebte Beispiele

integral of 3(sqrt(x)ln(x))

\int 3 (x ln (x)) d x

integral of sin^3(x/2)cos^5(x/2)

\int sin^{3} (\frac{x}{2}) cos^{5} (\frac{x}{2}) d x

limit as x approaches-infinity of (x^2)/(4-x^2)

x \to - \infty lim (\frac{x ^{2}}{4 - x ^{2}})

integral of 1/(2+y^2)

\int \frac{1}{2 + y ^{2}} d y

derivative cot^6(x)

d er i v a t i v e cot^{6} (x)