integral of x+tan(x)

Lösung

\int x + tan (x) d x

\frac{x ^{2}}{2} - ln ∣ cos (x) ∣ + C

Schritte zur Lösung

\int x + tan (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 x d x + \int tan (x) d x

\int x d x = \frac{x ^{2}}{2}

\int tan (x) d x = - ln ∣ cos (x) ∣

= \frac{x ^{2}}{2} - ln ∣ cos (x) ∣

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{2}}{2} - ln ∣ cos (x) ∣ + C

x \to \infty lim (\frac{3 x ^{2} + 5 x ^{3}}{2 x ^{2} - 3 x})

in v erse l a pl a ce \frac{( s )}{( s ^{2} + 6 s + 25 )}

\frac{d}{d x} ((4 x + 6) (9 x - 5))

d er i v a t i v e \frac{x + 7}{x}

\frac{d}{d x} ((cos (x)) (cos (x)))