de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1 to 3 of 1/(1+x^2)

Lösung

\int_{1}^{3} \frac{1}{1 + x ^{2}} d x

Lösung

arctan (3) - \frac{π}{4}

+1

Dezimale

0.46364 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{1}{1 + x ^{2}} d x

Nutze das gemeinsame Integral :

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

= [arctan (x)]_{1}^{3}

Berechne die Grenzen:

arctan (3) - \frac{π}{4}

= arctan (3) - \frac{π}{4}

Graph

Beliebte Beispiele

integral from 0 to 2 of 3tsqrt(4-t^2)

\int_{0}^{2} 3 t 4 - t^{2} d t

integral from 0 to pi/3 of (7sec^2(x))

\int_{0}^{\frac{π}{3}} (7 sec^{2} (x)) d x

integral from 2 to 3 of 2x+5

\int_{2}^{3} 2 x + 5 d x

integral from a to b of g(x)

\int_{a}^{b} g (x) d x

integral from 125 to 1 of x^3

\int_{125}^{1} x^{3} d x