de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to 1 of x/(e^{7x)}

Lösung

\int_{0}^{1} \frac{x}{e ^{7 x}} d x

Lösung

- \frac{8}{49 e ^{7}} + \frac{1}{49}

+1

Dezimale

0.02025 \dots

Schritte zur Lösung

\int_{0}^{1} \frac{x}{e ^{7 x}} d x

Wende die partielle Integration an

= [- \frac{1}{7} e^{- 7 x} x - \int - \frac{1}{7} e^{- 7 x} d x]_{0}^{1}

\int - \frac{1}{7} e^{- 7 x} d x = \frac{1}{49} e^{- 7 x}

= [- \frac{1}{7} e^{- 7 x} x - \frac{1}{49} e^{- 7 x}]_{0}^{1}

Berechne die Grenzen:

- \frac{8}{49 e ^{7}} + \frac{1}{49}

= - \frac{8}{49 e ^{7}} + \frac{1}{49}

Graph

Beliebte Beispiele

derivative cos(arctan(2x))

d er i v a t i v e cos (arctan (2 x))

(\partial)/(\partial x)(zx)

\frac{\partial}{\partial x} (z x)

d/(dt)(sin(t)(1-sin(t)))

\frac{d}{d t} (sin (t) (1 - sin (t)))

\frac{d y}{d x} + 2 = x

limit as x approaches 0 of+sin(x)ln(x)

x \to 0 lim (+ sin (x) ln (x))