integral of 11x^{4/7}+4x^{-6/7}

Lösung

\int 11 x^{\frac{4}{7}} + 4 x^{- \frac{6}{7}} d x

7 x^{\frac{11}{7}} + 28 x^{\frac{1}{7}} + C

Schritte zur Lösung

\int 11 x^{\frac{4}{7}} + 4 x^{- \frac{6}{7}} 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 11 x^{\frac{4}{7}} d x + \int 4 x^{- \frac{6}{7}} d x

\int 11 x^{\frac{4}{7}} d x = 7 x^{\frac{11}{7}}

\int 4 x^{- \frac{6}{7}} d x = 28 x^{\frac{1}{7}}

= 7 x^{\frac{11}{7}} + 28 x^{\frac{1}{7}}

Füge eine Konstante zur Lösung hinzu

= 7 x^{\frac{11}{7}} + 28 x^{\frac{1}{7}} + C

\frac{d}{d x} (\frac{x ^{2}}{7})

t an g e n t f (x) = 2 x^{3} - 4 x^{2}, at x = 1

\int_{1}^{5} \frac{5}{x ^{2} + 4 x + 4} d x

\frac{\partial}{\partial y} (\frac{x ^{2}}{1 + y ^{3}})

\frac{d}{d x} (a x e^{b x^{2}})