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(49x^2-64))/(x^3)

Lösung

\int \frac{49 x ^{2} - 64}{x ^{3}} d x

Lösung

- \frac{49 x ^{2} - 64}{2 x ^{2}} + \frac{49}{16} arcsec (\frac{7}{8} x) + C

Schritte zur Lösung

\int \frac{49 x ^{2} - 64}{x ^{3}} d x

Wende die partielle Integration an

= - \frac{49 x ^{2} - 64}{2 x ^{2}} - \int - \frac{49}{2 x 49 x ^{2} - 64} d x

\int - \frac{49}{2 x 49 x ^{2} - 64} d x = - \frac{49}{16} arcsec (\frac{7}{8} x)

= - \frac{49 x ^{2} - 64}{2 x ^{2}} - (- \frac{49}{16} arcsec (\frac{7}{8} x))

Vereinfache

= - \frac{49 x ^{2} - 64}{2 x ^{2}} + \frac{49}{16} arcsec (\frac{7}{8} x)

Füge eine Konstante zur Lösung hinzu

= - \frac{49 x ^{2} - 64}{2 x ^{2}} + \frac{49}{16} arcsec (\frac{7}{8} x) + C

Graph

Beliebte Beispiele

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

\int \frac{x ^{- 3}}{x ^{- 2} + 5} d x

integral of (x^3)/((1+2x^2)^2)

\int \frac{x ^{3}}{( 1 + 2 x ^{2} ) ^{2}} d x

integral of x/(x^2+6x+4)

\int \frac{x}{x ^{2} + 6 x + 4} d x

integral of (x^2-x)e^{-x}

\int (x^{2} - x) e^{- x} d x

integral of 1/(sqrt(4-7x))

\int \frac{1}{4 - 7 x} d x