integral of 4x^2+5x-3

Lösung

\int 4 x^{2} + 5 x - 3 d x

\frac{4 x ^{3}}{3} + \frac{5 x ^{2}}{2} - 3 x + C

Schritte zur Lösung

\int 4 x^{2} + 5 x - 3 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^{2} d x + \int 5 x d x - \int 3 d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 3 d x = 3 x

= \frac{4 x ^{3}}{3} + \frac{5 x ^{2}}{2} - 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{4 x ^{3}}{3} + \frac{5 x ^{2}}{2} - 3 x + C

t an g e n t y = \frac{10}{1 + e ^{- x}}, (0, 5)

d er i v a t i v e (3 x^{3} + 3) (x^{4} - 3 x)

\int_{0}^{5} x e^{- 4 x} d x

\int \frac{2}{9 - 4 x ^{2}} d x

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