erweitern (x^2+(y-c)^2)dx

Lösung

erweitern

(x^{2} + (y - c)^{2}) d x

x^{2} d x + y^{2} d x - 2 cy d x + c^{2} d x

Schritte zur Lösung

(x^{2} + (y - c)^{2}) d x

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = d x, b = x^{2}, c = (y - c)^{2}

= d x x^{2} + d x (y - c)^{2}

= x^{2} d x + d x (y - c)^{2}

Vereinfache

x^{2} d x + d x (y - c)^{2} : x^{2} d x + y^{2} d x - 2 cy d x + c^{2} d x

= x^{2} d x + y^{2} d x - 2 cy d x + c^{2} d x

e x p an d \frac{d}{d x} ((5 x - 5) 32) - x^{34}

e x p an d 3 x + 2 (3, 1) + 2 (3, - 1) (- 2, 4) + x

e x p an d f oco (0, - 3) v er t i ce (0, 0)

e x p an d \frac{l ( 1 - cos ( t ) )}{t}

e x p an d e^{x (x - 5)}