integral of (5x^4+3x^3-2)

Lösung

\int (5 x^{4} + 3 x^{3} - 2) d x

x^{5} + \frac{3 x ^{4}}{4} - 2 x + C

Schritte zur Lösung

\int 5 x^{4} + 3 x^{3} - 2 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 5 x^{4} d x + \int 3 x^{3} d x - \int 2 d x

\int 5 x^{4} d x = x^{5}

\int 3 x^{3} d x = \frac{3 x ^{4}}{4}

\int 2 d x = 2 x

= x^{5} + \frac{3 x ^{4}}{4} - 2 x

Füge eine Konstante zur Lösung hinzu

= x^{5} + \frac{3 x ^{4}}{4} - 2 x + C

\int (cos (θ) - 2 sin (θ))^{2} d θ

(x - y + 2) d x - (x - y) d y = 0

x \to 0 lim ((1 + 2 x)^{\frac{5}{x}})

t an g e n t 2 x^{3} + 2 x y + 2 y^{2} = 38, (- 1, - 4)

x \to 0 lim (\frac{sin ( x )}{x} - 1)