integral of (x^{1.7}+7x^{2.5})

Lösung

\int (x^{1.7} + 7 x^{2.5}) d x

0.37037 \dots x^{2.7} + 2 x^{3.5} + C

Schritte zur Lösung

\int x^{1.7} + 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^{1.7} d x + \int 7 x^{2.5} d x

\int x^{1.7} d x = 0.37037 \dots x^{2.7}

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

= 0.37037 \dots x^{2.7} + 2 x^{3.5}

Füge eine Konstante zur Lösung hinzu

= 0.37037 \dots x^{2.7} + 2 x^{3.5} + C

x \to 2 + lim (\frac{x ^{2}}{x - 2})

d er i v a t i v e f (t) = \frac{1}{2 t + 3}

n = 0 \sum \infty 6 (- 1)^{n} n x^{n}

x \to - 2 + lim (3 x + 6 - 6)

\int x^{2} (2 x^{3} - 1)^{4} d x