de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 19arctan(x)

Lösung

\int 19 arctan (x) d x

Lösung

19 (x arctan (x) - \frac{1}{2} ln x^{2} + 1) + C

Schritte zur Lösung

\int 19 arctan (x) d x

Entferne die Konstante:

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

= 19 \cdot \int arctan (x) d x

Wende die partielle Integration an

= 19 (x arctan (x) - \int \frac{x}{x ^{2} + 1} d x)

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

= 19 (x arctan (x) - \frac{1}{2} ln x^{2} + 1)

Füge eine Konstante zur Lösung hinzu

= 19 (x arctan (x) - \frac{1}{2} ln x^{2} + 1) + C

Graph

Beliebte Beispiele

f(x)=(4x^2-6x)^3

f (x) = (4 x^{2} - 6 x)^{3}

derivative y=(7x^3-3x^2-9)/(x^8)

d er i v a t i v e y = \frac{7 x ^{3} - 3 x ^{2} - 9}{x ^{8}}

derivative of cos^2(x*sin(x))

\frac{d}{d x} (cos^{2} (x) \cdot sin (x))

integral from 0 to 4 of 6x

\int_{0}^{4} 6 x d x

tangent f(x)=x^{1/2},(25,5)

t an g e n t f (x) = x^{\frac{1}{2}}, (25, 5)