erweitern (t+zcos(t))dt+(sin(t)-3z^2+5)dz

Lösung

erweitern

(t + z cos (t)) d t + (sin (t) - 3 z^{2} + 5) d z

t d t + z cos (t) d t + sin (t) d z - 3 z^{2} d z + 5 d z

Schritte zur Lösung

(t + z cos (t)) d t + (sin (t) - 3 z^{2} + 5) d z

Multipliziere aus

d t (t + z cos (t)) : t d t + z cos (t) d t

= t d t + z cos (t) d t + (sin (t) - 3 z^{2} + 5) d z

Multipliziere aus

d z (sin (t) - 3 z^{2} + 5) : sin (t) d z - 3 z^{2} d z + 5 d z

= t d t + z cos (t) d t + sin (t) d z - 3 z^{2} d z + 5 d z

s im pl i f y (- 25 - x^{2} + x - 5) (- 25 - x^{2} - x + 5)

e x p an d x (x + 6)

e x p an d 2 - 3 (33 + 5)

e x p an d 2 + 1 - (5 + 26) 5 - 26

e x p an d \frac{1}{n ( n - 1 )}