integral of-2/25 x+45

Lösung

\int - \frac{2}{25} x + 45 d x

- \frac{x ^{2}}{25} + 45 x + C

Schritte zur Lösung

\int - \frac{2}{25} x + 45 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 \frac{2}{25} x d x + \int 45 d x

\int \frac{2}{25} x d x = \frac{x ^{2}}{25}

\int 45 d x = 45 x

= - \frac{x ^{2}}{25} + 45 x

Füge eine Konstante zur Lösung hinzu

= - \frac{x ^{2}}{25} + 45 x + C

\int_{0}^{\infty} x^{5} e^{- x} d x

\frac{\partial}{\partial x} (x^{10} + x y^{11} + 9)

\frac{d}{d x} (cos^{2} (x^{4}))

\int_{0}^{2} \frac{x}{8} d x

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