erweitern (1-cos(x))ln(1+x^2)

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

Wende das Distributivgesetz an:

a (b - c) = ab - a c

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

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

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

Multipliziere:

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

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

e x p an d \frac{( 9 + x ^{2} ) ^{11}}{177147 x ^{11}}

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

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

e x p an d (lo g_{10} (x) - \frac{1}{ln ^{2} ( 2 x )})^{3}

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