integral of (x-1)sec^2(x)

Lösung

\int (x - 1) sec^{2} (x) d x

tan (x) (x - 1) + ln ∣ cos (x) ∣ + C

Schritte zur Lösung

\int (x - 1) sec^{2} (x) d x

Wende die partielle Integration an

= tan (x) (x - 1) - \int tan (x) d x

\int tan (x) d x = - ln ∣ cos (x) ∣

= tan (x) (x - 1) - (- ln ∣ cos (x) ∣)

Vereinfache

= tan (x) (x - 1) + ln ∣ cos (x) ∣

Füge eine Konstante zur Lösung hinzu

= tan (x) (x - 1) + ln ∣ cos (x) ∣ + C

t a y l or (x - 1) ln (x)

\frac{\partial}{\partial x} (\frac{1}{3 x + 2})

x \to 2 - lim (g (x))

\int \frac{x}{2 x ^{2} + 1} d x

x \to \infty lim (f (x) x)