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 8 of e^{x/2}

Lösung

\int_{0}^{8} e^{\frac{x}{2}} d x

Lösung

2 (e^{4} - 1)

+1

Dezimale

107.19630 \dots

Schritte zur Lösung

\int_{0}^{8} e^{\frac{x}{2}} d x

Wende U-Substitution an

= \int_{0}^{4} e^{u} \cdot 2 d u

Entferne die Konstante:

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

= 2 \cdot \int_{0}^{4} e^{u} d u

Nutze das gemeinsame Integral :

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

= 2 [e^{u}]_{0}^{4}

Berechne die Grenzen:

e^{4} - 1

= 2 (e^{4} - 1)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x^3)

\frac{\partial}{\partial x} (x^{3})

y^{^{'}} + 10 y = 20

sum from n=1 to infinity of n+(7/8)^n

n = 1 \sum \infty n + (\frac{7}{8})^{n}

tangent y=x^3-x^2+x-1,(1,0)

t an g e n t y = x^{3} - x^{2} + x - 1, (1, 0)

integral of x^4ln^2(x)

\int x^{4} ln^{2} (x) d x