erweitern dx((x-sin(x))(x+cos(x)))

Lösung

erweitern

d x ((x - sin (x)) (x + cos (x)))

x^{2} d x + x cos (x) d x - x sin (x) d x - sin (x) cos (x) d x

Schritte zur Lösung

d x ((x - sin (x)) (x + cos (x)))

Entferne die Klammern:

(a) = a

= d x (x - sin (x)) (x + cos (x))

Multipliziere aus

(x - sin (x)) (x + cos (x)) : x^{2} + x cos (x) - x sin (x) - sin (x) cos (x)

= d x (x^{2} + x cos (x) - x sin (x) - sin (x) cos (x))

Multipliziere aus

d x (x^{2} + x cos (x) - x sin (x) - sin (x) cos (x)) : x^{2} d x + x cos (x) d x - x sin (x) d x - sin (x) cos (x) d x

= x^{2} d x + x cos (x) d x - x sin (x) d x - sin (x) cos (x) d x

e x p an d 10 (k x)

e x p an d e [3414 - 316 (ln (60)) - 316 (ln (60))^{2}]

e x p an d x^{2} y^{'} (x) + (x + 1) y

e x p an d \frac{1 - p + 3}{( p + 2 ) ^{2}}

e x p an d d (x)