erweitern sec(x)(tan(x)-sec(x))dx

Lösung

erweitern

sec (x) (tan (x) - sec (x)) d x

sec (x) tan (x) d x - sec^{2} (x) d x

Schritte zur Lösung

sec (x) (tan (x) - sec (x)) d x

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = sec (x) d x, b = tan (x), c = sec (x)

= sec (x) d x tan (x) - sec (x) d x sec (x)

= sec (x) tan (x) d x - sec (x) sec (x) d x

sec (x) sec (x) d x = sec^{2} (x) d x

= sec (x) tan (x) d x - sec^{2} (x) d x

s im pl i f y (- \frac{6}{x ^{4}} - \frac{4}{x ^{5}}) (x^{3} + 7 x^{2} - 8)

e x p an d \frac{10}{e ^{2 s} ( s + 1 ) ( s + 2 )}

s im pl i f y (x + 4 + 3)^{2}

s im pl i f y (3 x - 6) \cdot (3 x + 6)

s im pl i f y (x + 3 + 5) (x + 3 - 5)