integral of 85-3sqrt(25-x)

Lösung

\int 85 - 3 25 - x d x

85 x + 2 (25 - x)^{\frac{3}{2}} + C

Schritte zur Lösung

\int 85 - 3 25 - 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 85 d x - \int 3 25 - x d x

\int 85 d x = 85 x

\int 3 25 - x d x = - 2 (25 - x)^{\frac{3}{2}}

= 85 x - (- 2 (25 - x)^{\frac{3}{2}})

Vereinfache

= 85 x + 2 (25 - x)^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 85 x + 2 (25 - x)^{\frac{3}{2}} + C

\frac{d}{d x} (6 x^{- 2} + 9 x^{- 1})

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

n = 1 \sum \infty \frac{n ^{2}}{e ^{n}}

x \to \infty lim (x^{2} - 9, + x)

x \to \infty lim (3 x^{3})