de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of arctan(5t)

Lösung

\int arctan (5 t) d t

Lösung

t arctan (5 t) - \frac{1}{10} ln 25 t^{2} + 1 + C

Schritte zur Lösung

\int arctan (5 t) d t

Wende die partielle Integration an

= t arctan (5 t) - \int \frac{5 t}{25 t ^{2} + 1} d t

\int \frac{5 t}{25 t ^{2} + 1} d t = \frac{1}{10} ln 25 t^{2} + 1

= t arctan (5 t) - \frac{1}{10} ln 25 t^{2} + 1

Füge eine Konstante zur Lösung hinzu

= t arctan (5 t) - \frac{1}{10} ln 25 t^{2} + 1 + C

Graph

Beliebte Beispiele

limit as x approaches 0 of (x^2+1)/(x^2)

x \to 0 lim (\frac{x ^{2} + 1}{x ^{2}})

derivative y= 1/(x(8+ln(x)))

d er i v a t i v e y = \frac{1}{x ( 8 + ln ( x ) )}

integral of e^{-3x}cos(2x)

\int e^{- 3 x} cos (2 x) d x

(5x+2)+(5y-5)y^'=0

(5 x + 2) + (5 y - 5) y^{^{'}} = 0

tangent (4x)/(x^2+1)(1.1)

t an g e n t \frac{4 x}{x ^{2} + 1} (1.1)