de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (1-3t)/(t^2)

Lösung

\int \frac{1 - 3 t}{t ^{2}} d t

Lösung

- \frac{1}{t} - 3 ln ∣ t ∣ + C

Schritte zur Lösung

\int \frac{1 - 3 t}{t ^{2}} d t

Multipliziere aus

\frac{1 - 3 t}{t ^{2}} : \frac{1}{t ^{2}} - \frac{3}{t}

= \int \frac{1}{t ^{2}} - \frac{3}{t} d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{1}{t ^{2}} d t - \int \frac{3}{t} d t

\int \frac{1}{t ^{2}} d t = - \frac{1}{t}

\int \frac{3}{t} d t = 3 ln ∣ t ∣

= - \frac{1}{t} - 3 ln ∣ t ∣

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{t} - 3 ln ∣ t ∣ + C

Graph

Beliebte Beispiele

derivative f(x)=15e^{x^2}

d er i v a t i v e f (x) = 15 e^{x^{2}}

derivative f(x)=3x^2+12

d er i v a t i v e f (x) = 3 x^{2} + 12

derivative of 1/(x+\frac{1{x+1}})

\frac{d}{d x} (\frac{1}{x + \frac{1}{x + 1}})

(\partial)/(\partial x)(ln(sin(xy)))

\frac{\partial}{\partial x} (ln (sin (x y)))

laplacetransform sin^2(4t)

l a pl a ce t r an s f or m sin^{2} (4 t)