erweitern (2sin(x)cos^2(x)-sin^3(x))ln|sec(x)|

Lösung

erweitern

(2 sin (x) cos^{2} (x) - sin^{3} (x)) ln ∣ sec (x) ∣

2 ln ∣ sec (x) ∣ sin (x) cos^{2} (x) - ln ∣ sec (x) ∣ sin^{3} (x)

Schritte zur Lösung

(2 sin (x) cos^{2} (x) - sin^{3} (x)) ln ∣ sec (x) ∣

= ln ∣ sec (x) ∣ (2 sin (x) cos^{2} (x) - sin^{3} (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = ln ∣ sec (x) ∣, b = 2 sin (x) cos^{2} (x), c = sin^{3} (x)

= ln ∣ sec (x) ∣ \cdot 2 sin (x) cos^{2} (x) - ln ∣ sec (x) ∣ sin^{3} (x)

= 2 ln ∣ sec (x) ∣ sin (x) cos^{2} (x) - ln ∣ sec (x) ∣ sin^{3} (x)

e x p an d lo g_{10} (z)

e x p an d - \frac{5}{( t + 3 ) ^{3}}

e x p an d (e^{\frac{x}{m}} - e^{- \frac{x}{m}})^{2}

e x p an d cos^{2} (θ) (1 + tan (θ))

e x p an d \frac{( x ^{2} + 1 ) ^{4}}{8}