integral of (x^{1.7}+11x^{4.5})

Lösung

\int (x^{1.7} + 11 x^{4.5}) d x

0.37037 \dots x^{2.7} + 2 x^{5.5} + C

Schritte zur Lösung

\int x^{1.7} + 11 x^{4.5} 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 11 x^{4.5} d x

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

\int 11 x^{4.5} d x = 2 x^{5.5}

= 0.37037 \dots x^{2.7} + 2 x^{5.5}

Füge eine Konstante zur Lösung hinzu

= 0.37037 \dots x^{2.7} + 2 x^{5.5} + C

y^{^{'}} = \frac{18 ( 1 + 3 y )}{( 3 - 3 x ) ^{2}}, y (2) = 0

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