integral from 7 to 10 of x/7-7/x

Lösung

\int_{7}^{10} \frac{x}{7} - \frac{7}{x} d x

\frac{51}{14} - 7 (ln (10) - ln (7))

Dezimale

1.14613 \dots

Schritte zur Lösung

\int_{7}^{10} \frac{x}{7} - \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_{7}^{10} \frac{x}{7} d x - \int_{7}^{10} \frac{7}{x} d x

\int_{7}^{10} \frac{x}{7} d x = \frac{51}{14}

\int_{7}^{10} \frac{7}{x} d x = 7 (ln (10) - ln (7))

= \frac{51}{14} - 7 (ln (10) - ln (7))

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

\int_{1}^{2} r^{7} sin (2 r^{4}) d r

\int_{0}^{12} x^{3} d x

\int_{1}^{5} t^{2} - 2 t - 8 d t

\int_{0}^{1} \frac{( x ^{2} )}{x ^{2} + 1} d x