erweitern sqrt(1-x^2)(1-ln(x))

Lösung

erweitern

1 - x^{2} (1 - ln (x))

1 - x^{2} - ln (x) 1 - x^{2}

Schritte zur Lösung

1 - x^{2} (1 - ln (x))

= (1 - ln (x)) 1 - x^{2}

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = 1 - x^{2}, b = 1, c = ln (x)

= 1 - x^{2} \cdot 1 - 1 - x^{2} ln (x)

= 1 \cdot 1 - x^{2} - ln (x) 1 - x^{2}

Multipliziere:

1 \cdot 1 - x^{2} = 1 - x^{2}

= 1 - x^{2} - ln (x) 1 - x^{2}

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

e x p an d ln (1 - x) (1 + x) - ln (1 + x) (1 + x)

e x p an d f (z) (\frac{ln ( 4 x y )}{z ^{2}} + sin (x y^{2} + y e^{z}))

e x p an d \frac{36 x y 2 ^{2}}{12 x y ^{2}}

e x p an d \frac{6 x - 3}{( x + 1 ) ( 4 x - 5 )}