integral of (5x^2+3)

Lösung

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

\frac{5 x ^{3}}{3} + 3 x + C

Schritte zur Lösung

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

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 3 d x = 3 x

= \frac{5 x ^{3}}{3} + 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{3}}{3} + 3 x + C

\frac{d}{d x} (\frac{cos ( x )}{sin ^{2} ( x )})

x \to 0 lim (x \cdot e^{\frac{1}{x}} - 1)

\frac{d y}{d x} = \frac{y ( ln ( 5 y ) - ln ( 5 x ) + 7 )}{7 x}

\frac{d}{d x} (\frac{2 + x}{1 - x})

\int_{0}^{2.5} 25 - x^{2} d x