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

Lösung

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

ln (2) - \frac{1}{2}

Dezimale

0.19314 \dots

Schritte zur Lösung

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

\int_{1}^{2} \frac{1}{x} d x = ln (2)

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

= ln (2) - \frac{1}{2}

\frac{d}{d y} (4 y^{3} - 5 y^{3} cos (y) + 2 y^{5} sin (y))

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

d er i v a t i v e f (x) = 3 x + x^{2}

\int x^{\frac{1}{3}} (x^{\frac{4}{3}} + 9)^{8} d x

d er i v a t i v e \frac{1}{s ^{2} + 1}