integral from 2 to 4 of 5/x-(10)/(x^2)

Lösung

\int_{2}^{4} \frac{5}{x} - \frac{10}{x ^{2}} d x

5 ln (2) - \frac{5}{2}

Dezimale

0.96573 \dots

Schritte zur Lösung

\int_{2}^{4} \frac{5}{x} - \frac{10}{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_{2}^{4} \frac{5}{x} d x - \int_{2}^{4} \frac{10}{x ^{2}} d x

\int_{2}^{4} \frac{5}{x} d x = 5 ln (2)

\int_{2}^{4} \frac{10}{x ^{2}} d x = \frac{5}{2}

= 5 ln (2) - \frac{5}{2}

\int_{2}^{5} (cos (\frac{x}{10})) d x

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

\int_{0}^{3} (3 t - 1)^{58} d t

\int_{0}^{t} \frac{1}{x ^{2}} d x

\int_{1}^{4} 21 x^{\frac{5}{2}} d x