de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of p(p+6)^8

Lösung

\int p (p + 6)^{8} d p

Lösung

\frac{( p + 6 ) ^{10}}{10} - \frac{2 ( p + 6 ) ^{9}}{3} + C

Schritte zur Lösung

\int p (p + 6)^{8} d p

Wende U-Substitution an

= \int (u - 6) u^{8} d u

Multipliziere aus

(u - 6) u^{8} : u^{9} - 6 u^{8}

= \int u^{9} - 6 u^{8} d u

Wende die Summenregel an:

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

= \int u^{9} d u - \int 6 u^{8} d u

\int u^{9} d u = \frac{u ^{10}}{10}

\int 6 u^{8} d u = \frac{2 u ^{9}}{3}

= \frac{u ^{10}}{10} - \frac{2 u ^{9}}{3}

Setze in

u = p + 6

ein

= \frac{( p + 6 ) ^{10}}{10} - \frac{2 ( p + 6 ) ^{9}}{3}

Füge eine Konstante zur Lösung hinzu

= \frac{( p + 6 ) ^{10}}{10} - \frac{2 ( p + 6 ) ^{9}}{3} + C

Graph

Beliebte Beispiele

derivative of (0.2x/(x^2+9))

\frac{d}{d x} (\frac{0.2 x}{x ^{2} + 9})

integral of 1-x^9

\int 1 - x^{9} d x

(\partial)/(\partial x)(-1/x)

\frac{\partial}{\partial x} (- \frac{1}{x})

integral of e^xcos(3x)

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

sum from n=1 to infinity of 5^nx^nn!

n = 1 \sum \infty 5^{n} x^{n} n!