integral from 1 to 5 of (3+2/x)

Lösung

\int_{1}^{5} (3 + \frac{2}{x}) d x

12 + 2 ln (5)

Dezimale

15.21887 \dots

Schritte zur Lösung

\int_{1}^{5} 3 + \frac{2}{x} 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}^{5} 3 d x + \int_{1}^{5} \frac{2}{x} d x

\int_{1}^{5} 3 d x = 12

\int_{1}^{5} \frac{2}{x} d x = 2 ln (5)

= 12 + 2 ln (5)

\int_{0}^{2} r^{3} 4 - r^{2} d r

\int_{- π}^{π} sin (4 x) d x

\int_{0}^{2} x d x

\int_{- 2}^{5} h (x) d x

\int_{0}^{1} - x^{3} + 4 x^{2} - 3 x d x