erweitern 2pi((x+1)(sin(x))+cos(x))

Lösung

erweitern

2 π ((x + 1) (sin (x)) + cos (x))

2 π x sin (x) + 2 π sin (x) + 2 π cos (x)

Schritte zur Lösung

2 π ((x + 1) (sin (x)) + cos (x))

= 2 π ((sin (x)) (x + 1) + cos (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = 2 π, b = (x + 1) (sin (x)), c = cos (x)

= 2 π (x + 1) (sin (x)) + 2 π cos (x)

= 2 π (sin (x)) (x + 1) + 2 π cos (x)

Vereinfache

2 π (sin (x)) (x + 1) + 2 π cos (x) : 2 π x sin (x) + 2 π sin (x) + 2 π cos (x)

= 2 π x sin (x) + 2 π sin (x) + 2 π cos (x)

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

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

e x p an d (2 x^{2} - 3 x - 2) \pm (4 x^{2} + 5 x + 3)

e x p an d (t + 2)^{2} e^{t}

e x p an d 3 ((2, 0, - 1) - 2 (1, 2, 3))