integral of (2xsqrt(x)-1/(sqrt(x)))

Lösung

\int (2 x x - \frac{1}{x}) d x

\frac{4}{5} x^{\frac{5}{2}} - 2 x + C

Schritte zur Lösung

\int 2 x x - \frac{1}{x} 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 2 x x d x - \int \frac{1}{x} d x

\int 2 x x d x = \frac{4}{5} x^{\frac{5}{2}}

\int \frac{1}{x} d x = 2 x

= \frac{4}{5} x^{\frac{5}{2}} - 2 x

Füge eine Konstante zur Lösung hinzu

= \frac{4}{5} x^{\frac{5}{2}} - 2 x + C

3 y^{^{''}} - 11 y^{^{'}} + 10 y = 0, y (0) = 8, y^{^{'}} (0) = - 4

l a pl a ce t r an s f or m 5 sin (t)

\int e^{t} + e^{- t} d t

\frac{\partial}{\partial z} (sin (x y))

\frac{\partial}{\partial y} (ln (\frac{y ^{9}}{x ^{7}}))