integral of 3/2 x^2-\sqrt[3]{x^4}

Lösung

\int \frac{3}{2} x^{2} - 3 x^{4} d x

\frac{x ^{3}}{2} - \frac{3}{7} x^{\frac{7}{3}} + C

Schritte zur Lösung

\int \frac{3}{2} x^{2} - 3 x^{4} 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 \frac{3}{2} x^{2} d x - \int 3 x^{4} d x

\int \frac{3}{2} x^{2} d x = \frac{x ^{3}}{2}

\int 3 x^{4} d x = \frac{3}{7} x^{\frac{7}{3}}

= \frac{x ^{3}}{2} - \frac{3}{7} x^{\frac{7}{3}}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{2} - \frac{3}{7} x^{\frac{7}{3}} + C

d er i v a t i v e - x^{2} + x + a

\frac{d}{d x} (8 x^{5} + 45 x^{4} + 80 x^{3} + 50 x^{2} + 200)

d er i v a t i v e e^{t} cos (t)

(x - 6) y^{^{'}} + y = x^{2} - 20

\int x^{3} 16 - x^{2} d x