integral of (12x^{11}-(11)/(x^{11)})

Lösung

\int (12 x^{11} - \frac{11}{x ^{11}}) d x

x^{12} + \frac{11}{10 x ^{10}} + C

Schritte zur Lösung

\int 12 x^{11} - \frac{11}{x ^{11}} 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^{11} d x - \int \frac{11}{x ^{11}} d x

\int 12 x^{11} d x = x^{12}

\int \frac{11}{x ^{11}} d x = - \frac{11}{10 x ^{10}}

= x^{12} - (- \frac{11}{10 x ^{10}})

Vereinfache

= x^{12} + \frac{11}{10 x ^{10}}

Füge eine Konstante zur Lösung hinzu

= x^{12} + \frac{11}{10 x ^{10}} + C

f (x) = 1 + e^{x}

h \to 0 lim (\frac{5}{h})

\frac{\partial}{\partial y} (lo g_{3} (x - y))

\int \frac{( x ^{2} )}{x ^{2} + 6} d x

y^{^{''}} - 2 y^{^{'}} - 8 y = 0, y (0) = - 2, y^{^{'}} (0) = 4