de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1/5 to 7 of 8xln(5x)

Lösung

\int_{\frac{1}{5}}^{7} 8 x ln (5 x) d x

Lösung

8 (- \frac{306}{25} + \frac{49}{2} ln (35))

+1

Dezimale

598.92822 \dots

Schritte zur Lösung

\int_{\frac{1}{5}}^{7} 8 x ln (5 x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 8 \cdot \int_{\frac{1}{5}}^{7} x ln (5 x) d x

Wende die partielle Integration an

= 8 [\frac{1}{2} x^{2} ln (5 x) - \int \frac{x}{2} d x]_{\frac{1}{5}}^{7}

\int \frac{x}{2} d x = \frac{x ^{2}}{4}

= 8 [\frac{1}{2} x^{2} ln (5 x) - \frac{x ^{2}}{4}]_{\frac{1}{5}}^{7}

Berechne die Grenzen:

- \frac{306}{25} + \frac{49}{2} ln (35)

= 8 (- \frac{306}{25} + \frac{49}{2} ln (35))

Graph

Beliebte Beispiele

y^{^{'}} + \frac{2}{x} y = 4 x

derivative of ln(7x^2+5y^2)

\frac{d}{d x} (ln (7 x^{2} + 5 y^{2}))

derivative 4t^{(-1)/8}+5ln(t)+ln(5)

d er i v a t i v e 4 t^{\frac{- 1}{8}} + 5 ln (t) + ln (5)

tangent f(x)=3x^2-4x+1

t an g e n t f (x) = 3 x^{2} - 4 x + 1

derivative of (9-sec(x)/(tan(x)))

\frac{d}{d x} (\frac{9 - sec ( x )}{tan ( x )})