integral of (-x+3)

Lösung

\int (- x + 3) d x

- \frac{x ^{2}}{2} + 3 x + C

Schritte zur Lösung

\int - x + 3 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 d x + \int 3 d x

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

\int 3 d x = 3 x

= - \frac{x ^{2}}{2} + 3 x

Füge eine Konstante zur Lösung hinzu

= - \frac{x ^{2}}{2} + 3 x + C

\frac{\partial}{\partial x} (arctan (\frac{z}{x}))

y^{^{''}} - 10 y^{^{'}} + 50 y = 0, y (0) = 5, y^{^{'}} (0) = - 2

5 y^{^{''}} + 30 y = 0, y (0) = 5, y^{^{'}} (0) = 5

\int \frac{1}{a ^{2} + u ^{2}} d u

\frac{\partial}{\partial y} ((2 x - 5 y)^{2})