integral from 1 to 4 of (x/8-7/x)

Lösung

\int_{1}^{4} (\frac{x}{8} - \frac{7}{x}) d x

\frac{15}{16} - 14 ln (2)

Dezimale

- 8.76656 \dots

Schritte zur Lösung

\int_{1}^{4} \frac{x}{8} - \frac{7}{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}^{4} \frac{x}{8} d x - \int_{1}^{4} \frac{7}{x} d x

\int_{1}^{4} \frac{x}{8} d x = \frac{15}{16}

\int_{1}^{4} \frac{7}{x} d x = 14 ln (2)

= \frac{15}{16} - 14 ln (2)

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

\int_{1}^{4} 7 x + x d x

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

\int_{0}^{\infty} e^{5 x} d x

\int_{1}^{3} (2 - x) e^{x} d x