integral from 0 to 4 of x^2-4x

Lösung

\int_{0}^{4} x^{2} - 4 x d x

- \frac{32}{3}

Dezimale

- 10.66666 \dots

Schritte zur Lösung

\int_{0}^{4} x^{2} - 4 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_{0}^{4} x^{2} d x - \int_{0}^{4} 4 x d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 4 x d x = 32

= \frac{64}{3} - 32

Vereinfache

\frac{64}{3} - 32 : - \frac{32}{3}

= - \frac{32}{3}

d er i v a t i v e \frac{1}{t + 1}

\int t e^{- 5 t} d t

x \to 5 lim (x^{2} - 8 x + 15)

x \to 0 lim (\frac{2}{x})

d er i v a t i v e f (x) = x^{2} (\frac{2}{x ^{2}} + \frac{5}{x ^{3}})