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(9x^2-49))/(x^3)

Lösung

\int \frac{9 x ^{2} - 49}{x ^{3}} d x

Lösung

- \frac{9 x ^{2} - 49}{2 x ^{2}} + \frac{9}{14} arcsec (\frac{3}{7} x) + C

Schritte zur Lösung

\int \frac{9 x ^{2} - 49}{x ^{3}} d x

Wende die partielle Integration an

= - \frac{9 x ^{2} - 49}{2 x ^{2}} - \int - \frac{9}{2 x 9 x ^{2} - 49} d x

\int - \frac{9}{2 x 9 x ^{2} - 49} d x = - \frac{9}{14} arcsec (\frac{3}{7} x)

= - \frac{9 x ^{2} - 49}{2 x ^{2}} - (- \frac{9}{14} arcsec (\frac{3}{7} x))

Vereinfache

= - \frac{9 x ^{2} - 49}{2 x ^{2}} + \frac{9}{14} arcsec (\frac{3}{7} x)

Füge eine Konstante zur Lösung hinzu

= - \frac{9 x ^{2} - 49}{2 x ^{2}} + \frac{9}{14} arcsec (\frac{3}{7} x) + C

Graph

Beliebte Beispiele

laplacetransform 7(t-7)

l a pl a ce t r an s f or m 7 (t - 7)

integral of (x^4+x+1+x^{-1}+x^{-2})

\int (x^{4} + x + 1 + x^{- 1} + x^{- 2}) d x

integral from 9 to 16 of (sqrt(x))/(x-4)

\int_{9}^{16} \frac{x}{x - 4} d x

derivative \sqrt[7]{t}-7e^t

d er i v a t i v e 7 t - 7 e^{t}

derivative f(x)=|4+7x|

d er i v a t i v e f (x) = ∣ 4 + 7 x ∣