de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to 5 of (4x-x^2)

Lösung

\int_{0}^{5} (4 x - x^{2}) d x

Lösung

\frac{25}{3}

+1

Dezimale

8.33333 \dots

Schritte zur Lösung

\int_{0}^{5} 4 x - x^{2} d x

Wende die Summenregel an:

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

= \int_{0}^{5} 4 x d x - \int_{0}^{5} x^{2} d x

\int_{0}^{5} 4 x d x = 50

\int_{0}^{5} x^{2} d x = \frac{125}{3}

= 50 - \frac{125}{3}

Vereinfache

50 - \frac{125}{3} : \frac{25}{3}

= \frac{25}{3}

Graph

Beliebte Beispiele

integral of 6sin^2(x)

\int 6 sin^{2} (x) d x

derivative of 11sec^2(x)

\frac{d}{d x} (11 sec^{2} (x))

derivative cy^{-5}

d er i v a t i v e c y^{- 5}

derivative of (2x/8)

\frac{d}{d x} (\frac{2 x}{8})

derivative of-(200/(x^2))

\frac{d}{d x} (- \frac{200}{x ^{2}})