integral of (7-x)

Lösung

\int (7 - x) d x

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

Schritte zur Lösung

\int 7 - 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 7 d x - \int x d x

\int 7 d x = 7 x

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

= 7 x - \frac{x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= 7 x - \frac{x ^{2}}{2} + C

\int_{0}^{1} \frac{58}{4 y - 1} d y

\frac{d y}{d x} = \frac{x y}{2}

\int \frac{2 x ^{3} + 11 x + 8}{x ^{3} + 4 x ^{2} + 4 x} d x

w \to 0 lim (\frac{a - w ^{2} + a ^{2}}{b - w ^{2} + b ^{2}})

t an g e n t 2 x^{2} + x - 3, at x = - 1