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 1 of sqrt(1+x^{-2/3)}

Lösung

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

Lösung

0

Schritte zur Lösung

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

Bestimme unbestimmte (Singularitäts-)Punkte:

x = 0

Wenn

b, a < b < c, f (b) =

unbestimmt

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{- 1}^{0} 1 + x^{- \frac{2}{3}} d x + \int_{0}^{1} 1 + x^{- \frac{2}{3}} d x

\int_{- 1}^{0} 1 + x^{- \frac{2}{3}} d x = - 22 + 1

\int_{0}^{1} 1 + x^{- \frac{2}{3}} d x = 22 - 1

= - 22 + 1 + 22 - 1

Vereinfache

= 0

Graph

Beliebte Beispiele

limit as t approaches 1 of 1/(t^2-1)

t \to 1 lim (\frac{1}{t ^{2} - 1})

(f (t) + g (t))^{'}

integral of sqrt(x^2+6)

\int x^{2} + 6 d x

integral of x+cos(x)

\int x + cos (x) d x

derivative of 2xsec(x)

\frac{d}{d x} (2 x sec (x))