erweitern (x^2+((2y)/x))dx

Lösung

erweitern

(x^{2} + (\frac{2 y}{x})) d x

x^{2} d x + \frac{2 y d x}{x}

Schritte zur Lösung

(x^{2} + (\frac{2 y}{x})) d x

Wende das Distributivgesetz an:

a (b + c) = ab + a c

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

= d x x^{2} + d x (\frac{2 y}{x})

= x^{2} d x + (\frac{2 y}{x}) d x

Vereinfache

x^{2} d x + (\frac{2 y}{x}) d x : x^{2} d x + \frac{2 y d x}{x}

= x^{2} d x + \frac{2 y d x}{x}

e x p an d (x - \frac{1}{4})^{2} + \frac{7}{2}

e x p an d arctan (f (5 x^{2} + 4))

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

e x p an d \frac{2 x - 5}{( 2 x - 4 ) ( x - 4 ) ( x - 5 )}

e x p an d \frac{- 4 x ^{3} + 1}{2 x ^{\frac{1}{2}} ( x ^{3} + 1 ) ^{2}}