erweitern (x+3)sqrt(x^4+4x^3-5)dx

Lösung

erweitern

(x + 3) x^{4} + 4 x^{3} - 5 d x

x d x x^{4} + 4 x^{3} - 5 + 3 d x x^{4} + 4 x^{3} - 5

Schritte zur Lösung

(x + 3) x^{4} + 4 x^{3} - 5 d x

= (x + 3) d x x^{4} + 4 x^{3} - 5

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x^{4} + 4 x^{3} - 5 d x, b = x, c = 3

= x^{4} + 4 x^{3} - 5 d xx + x^{4} + 4 x^{3} - 5 d x \cdot 3

= x d x x^{4} + 4 x^{3} - 5 + 3 d x x^{4} + 4 x^{3} - 5

e x p an d 5 p^{6} - p^{6}

e x p an d \frac{( x + 2 ) ( x + 3 ) ( x + 4 ) ( x + 5 )}{( x + 1 ) ( x + 6 )}

e x p an d (p + cos (qt) - e^{- t}) (θ (t - \frac{π}{2}))

e x p an d \frac{40 ( 4 cos ( 40 t ) + sin ( 40 t ) )}{17}

e x p an d \frac{2 - 2 x ^{2}}{( x ^{2} + 4 ) ( x + 8 )}