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 to 7 of 5/x-5/(x^2)

Lösung

\int_{1}^{7} \frac{5}{x} - \frac{5}{x ^{2}} d x

Lösung

5 ln (7) - \frac{30}{7}

+1

Dezimale

5.44383 \dots

Schritte zur Lösung

\int_{1}^{7} \frac{5}{x} - \frac{5}{x ^{2}} d x

Wende die Summenregel an:

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

= \int_{1}^{7} \frac{5}{x} d x - \int_{1}^{7} \frac{5}{x ^{2}} d x

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

\int_{1}^{7} \frac{5}{x ^{2}} d x = \frac{30}{7}

= 5 ln (7) - \frac{30}{7}

Graph

Beliebte Beispiele

integral from 5 to 8 of x

\int_{5}^{8} x d x

integral from-4 to 2 of 1/(sqrt(x+4))

\int_{- 4}^{2} \frac{1}{x + 4} d x

integral from 0 to 4 of-x/2

\int_{0}^{4} - \frac{x}{2} d x

integral from-2 to-1 of-x-1

\int_{- 2}^{- 1} - x - 1 d x

integral from 1 to 2 of (y-1/(y^2))

\int_{1}^{2} (y - \frac{1}{y ^{2}}) d y