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 sqrt(3 of)arctan(x)

Lösung

\int_{1}^{3} arctan (x) d x

Lösung

\frac{- 2 3 ln ( 2 ) + 4 π - 3 π}{4 3}

+1

Dezimale

0.68182 \dots

Schritte zur Lösung

\int_{1}^{3} arctan (x) d x

Wende die partielle Integration an

= [x arctan (x) - \int \frac{x}{x ^{2} + 1} d x]_{1}^{3}

\int \frac{x}{x ^{2} + 1} d x = \frac{1}{2} ln x^{2} + 1

= [x arctan (x) - \frac{1}{2} ln x^{2} + 1]_{1}^{3}

Vereinfache

[x arctan (x) - \frac{1}{2} ln x^{2} + 1]_{1}^{3} : [\frac{1}{2} (2 x arctan (x) - ln x^{2} + 1)]_{1}^{3}

= [\frac{1}{2} (2 x arctan (x) - ln x^{2} + 1)]_{1}^{3}

Berechne die Grenzen:

\frac{- 2 3 ln ( 2 ) + 4 π - 3 π}{4 3}

= \frac{- 2 3 ln ( 2 ) + 4 π - 3 π}{4 3}

Graph

Beliebte Beispiele

integral of (x+1)/(x^2+16)

\int \frac{x + 1}{x ^{2} + 16} d x

derivative f(x)=sqrt(x)(x-4)

d er i v a t i v e f (x) = x (x - 4)

derivative of-2xe^{-2x}

\frac{d}{d x} (- 2 x e^{- 2 x})

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

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

integral of 1/(sqrt(x^2+y^2))

\int \frac{1}{x ^{2} + y ^{2}} d x