integral of (4x-5)

Lösung

\int (4 x - 5) d x

2 x^{2} - 5 x + C

Schritte zur Lösung

\int 4 x - 5 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 4 x d x - \int 5 d x

\int 4 x d x = 2 x^{2}

\int 5 d x = 5 x

= 2 x^{2} - 5 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{2} - 5 x + C

d er i v a t i v e x^{7} (x^{2} - \frac{3}{x ^{3}})

n = 0 \sum \infty \frac{1}{n \cdot 2 ^{n}}

k = 0 \sum \infty \frac{1}{k ^{2} + 1}

2 x y d x = (1 + y) d y

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