de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (2x+7)(x^2+7x+3)^{4/5}

Lösung

\int (2 x + 7) (x^{2} + 7 x + 3)^{\frac{4}{5}} d x

Lösung

\frac{5}{9} (x^{2} + 7 x + 3)^{\frac{9}{5}} + C

Schritte zur Lösung

\int (2 x + 7) (x^{2} + 7 x + 3)^{\frac{4}{5}} d x

Wende U-Substitution an

= \int u^{\frac{4}{5}} d u

Wende die Potenzregel an

= \frac{5}{9} u^{\frac{9}{5}}

Setze in

u = x^{2} + 7 x + 3

ein

= \frac{5}{9} (x^{2} + 7 x + 3)^{\frac{9}{5}}

Füge eine Konstante zur Lösung hinzu

= \frac{5}{9} (x^{2} + 7 x + 3)^{\frac{9}{5}} + C

Graph

Beliebte Beispiele

integral of u-1/(u^2)

\int u - \frac{1}{u ^{2}} d u

integral of 4/(x^2+18x+80)

\int \frac{4}{x ^{2} + 18 x + 80} d x

integral of xe^{(3x^2)/2}

\int x e^{\frac{3 x ^{2}}{2}} d x

integral of (2x-4)/(x^2+4x+29)

\int \frac{2 x - 4}{x ^{2} + 4 x + 29} d x

integral of sin^5(2x)cot^2(2x)

\int sin^{5} (2 x) cot^{2} (2 x) d x