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 infinity of 8/(x^2+4)

Lösung

\int_{0}^{\infty} \frac{8}{x ^{2} + 4} d x

Lösung

2 π

+1

Dezimale

6.28318 \dots

Schritte zur Lösung

\int_{0}^{\infty} \frac{8}{x ^{2} + 4} d x

Berechne das unbestimmte Integral:

\int \frac{8}{x ^{2} + 4} d x = 4 arctan (\frac{x}{2}) + C

Berechne die Grenzen:

\int_{0}^{\infty} \frac{8}{x ^{2} + 4} d x = 2 π - 0

= 2 π - 0

Vereinfache

= 2 π

Beliebte Beispiele

derivative of x*sqrt(x^2+1)

\frac{d}{d x} (x \cdot x^{2} + 1)

tangent y=xsqrt(x),(1,1)

t an g e n t y = x x, (1, 1)

derivative of x/(sin(x))

\frac{d}{d x} (\frac{x}{sin ( x )})

(\partial)/(\partial x)(x^{1/4})

\frac{\partial}{\partial x} (x^{\frac{1}{4}})

limit as x approaches 1 of 2x+3

x \to 1 lim (2 x + 3)