erweitern 3sin(θ^2)-(1+sin(θ))^2dθ

Lösung

erweitern

3 sin (θ^{2}) - (1 + sin (θ))^{2} d θ

3 sin (θ^{2}) - d θ - 2 sin (θ) d θ - sin^{2} (θ) d θ

Schritte zur Lösung

3 sin (θ^{2}) - (1 + sin (θ))^{2} d θ

(1 + sin (θ))^{2} = 1 + 2 sin (θ) + sin^{2} (θ)

= 3 sin (θ^{2}) - (sin^{2} (θ) + 2 sin (θ) + 1) d θ

Multipliziere aus

- d θ (1 + 2 sin (θ) + sin^{2} (θ)) : - d θ - 2 sin (θ) d θ - sin^{2} (θ) d θ

= 3 sin (θ^{2}) - d θ - 2 sin (θ) d θ - sin^{2} (θ) d θ

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

e x p an d \frac{( 10 x ^{2} + y ^{2} + 5 x y ) x y}{5}

e x p an d \frac{2 + s}{( 100 + s ) ^{2}}

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

e x p an d \frac{( 2 x + 1 ) ( x - 5 )}{3 x + 2}