integral of (x/7-3/4 x^4)

Lösung

\int (\frac{x}{7} - \frac{3}{4} x^{4}) d x

\frac{x ^{2}}{14} - \frac{3 x ^{5}}{20} + C

Schritte zur Lösung

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

\int \frac{x}{7} d x = \frac{x ^{2}}{14}

\int \frac{3}{4} x^{4} d x = \frac{3 x ^{5}}{20}

= \frac{x ^{2}}{14} - \frac{3 x ^{5}}{20}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{2}}{14} - \frac{3 x ^{5}}{20} + C

2 t^{2} y^{^{''}} + 3 t y^{^{'}} - y = 0

\int_{0}^{\infty} e^{- \frac{x}{2}} d x

x \to 3 lim (\frac{1}{3 - x})

y^{^{'}} = \frac{4 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

\int x^{3} x^{2} - 81 d x