integral of ax+bx^2

Lösung

\int a x + b x^{2} d x

\frac{a x ^{2}}{2} + \frac{b x ^{3}}{3} + C

Schritte zur Lösung

\int a x + b x^{2} 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 a x d x + \int b x^{2} d x

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

\int b x^{2} d x = \frac{b x ^{3}}{3}

= \frac{a x ^{2}}{2} + \frac{b x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= \frac{a x ^{2}}{2} + \frac{b x ^{3}}{3} + C

x \to - 2 + lim (2 - x)

\frac{\partial}{\partial y} (2 e^{x} y)

n or ma l y = x, (4, 2)

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

\int 5 sin^{4} (x) d x