integral of (x+7)

Lösung

\int (x + 7) d x

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

Schritte zur Lösung

\int x + 7 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 7 d x

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

\int 7 d x = 7 x

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

Füge eine Konstante zur Lösung hinzu

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

x \to 2 + lim (\frac{4}{( x - 2 ) ^{3}})

\frac{d}{d x} (3 x^{\frac{1}{3}} + 2 x^{2})

\int e^{3 x} sin (e^{x}) d x

\frac{d}{d x} (x + \frac{1}{3 x})

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