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 5/(x^2+1)

Lösung

\int_{0}^{\infty} \frac{5}{x ^{2} + 1} d x

Lösung

\frac{5 π}{2}

+1

Dezimale

7.85398 \dots

Schritte zur Lösung

\int_{0}^{\infty} \frac{5}{x ^{2} + 1} d x

Berechne das unbestimmte Integral:

\int \frac{5}{x ^{2} + 1} d x = 5 arctan (x) + C

Berechne die Grenzen:

\int_{0}^{\infty} \frac{5}{x ^{2} + 1} d x = 5 \cdot \frac{π}{2} - 0

= 5 \cdot \frac{π}{2} - 0

Vereinfache

= \frac{5 π}{2}

Beliebte Beispiele

integral of 1/(x-8)

\int \frac{1}{x - 8} d x

sum from n=1 to infinity of (cos(29))^n

n = 1 \sum \infty (cos (29))^{n}

(d^2)/(dx^2)(1/(3+x))

\frac{d ^{2}}{d x ^{2}} (\frac{1}{3 + x})

derivative f(x)=(x^2+3)^4

d er i v a t i v e f (x) = (x^{2} + 3)^{4}

integral of 1/((1-x)^3sqrt(x^2-2x-1))

\int \frac{1}{( 1 - x ) ^{3} x ^{2} - 2 x - 1} d x