integral of (x^{1.3}+7x^{2.5})

Lösung

\int (x^{1.3} + 7 x^{2.5}) d x

0.43478 \dots x^{2.3} + 2 x^{3.5} + C

Schritte zur Lösung

\int x^{1.3} + 7 x^{2.5} 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 x^{1.3} d x + \int 7 x^{2.5} d x

\int x^{1.3} d x = 0.43478 \dots x^{2.3}

\int 7 x^{2.5} d x = 2 x^{3.5}

= 0.43478 \dots x^{2.3} + 2 x^{3.5}

Füge eine Konstante zur Lösung hinzu

= 0.43478 \dots x^{2.3} + 2 x^{3.5} + C

\int_{1}^{5} \frac{24 + x ^{2}}{x} d x

\frac{\partial}{\partial x} (\frac{47 x y}{x - y})

\frac{d}{d x} (sec (x) csc (x))

a re a x, 1 - x, - \frac{x}{2}

d er i v a t i v e f (x) = 4 x sin (x)