integral of 12x^{5/7}+7x^{-6/7}

Lösung

\int 12 x^{\frac{5}{7}} + 7 x^{- \frac{6}{7}} d x

7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}} + C

Schritte zur Lösung

\int 12 x^{\frac{5}{7}} + 7 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 12 x^{\frac{5}{7}} d x + \int 7 x^{- \frac{6}{7}} d x

\int 12 x^{\frac{5}{7}} d x = 7 x^{\frac{12}{7}}

\int 7 x^{- \frac{6}{7}} d x = 49 x^{\frac{1}{7}}

= 7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}}

Füge eine Konstante zur Lösung hinzu

= 7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}} + C

y^{^{'}} = \frac{( 3 x ^{2} + y ^{2} )}{x y}

\int co x d x

\int_{1}^{16} \frac{x}{x} d x

y^{^{'}} = (x - 3) e^{- 2 y}

d er i v a t i v e - \frac{4}{( 5 ) ^{3}}