de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of sqrt(t)-2cos(t)

Lösung

\int t - 2 cos (t) d t

Lösung

\frac{2}{3} t^{\frac{3}{2}} - 2 sin (t) + C

Schritte zur Lösung

\int t - 2 cos (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 t d t - \int 2 cos (t) d t

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

\int 2 cos (t) d t = 2 sin (t)

= \frac{2}{3} t^{\frac{3}{2}} - 2 sin (t)

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} t^{\frac{3}{2}} - 2 sin (t) + C

Graph

Beliebte Beispiele

limit as x approaches 1 of sin(1/(x-1))

x \to 1 lim (sin (\frac{1}{x - 1}))

integral of (sqrt(x)+x^{3/4})

\int (x + x^{\frac{3}{4}}) d x

derivative of 4x-4sqrt(x)

\frac{d}{d x} (4 x - 4 x)

integral of x/(1+25x^4)

\int \frac{x}{1 + 25 x ^{4}} d x

integral of (-1)/(x^2sqrt(x^2-9))

\int \frac{- 1}{x ^{2} x ^{2} - 9} d x