integral from 2 to 4 of-x^2+6x-8

Lösung

\int_{2}^{4} - x^{2} + 6 x - 8 d x

\frac{4}{3}

Dezimale

1.33333 \dots

Schritte zur Lösung

\int_{2}^{4} - x^{2} + 6 x - 8 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_{2}^{4} x^{2} d x + \int_{2}^{4} 6 x d x - \int_{2}^{4} 8 d x

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 6 x d x = 36

\int_{2}^{4} 8 d x = 16

= - \frac{56}{3} + 36 - 16

Vereinfache

- \frac{56}{3} + 36 - 16 : \frac{4}{3}

= \frac{4}{3}

x \to - 8 - lim (\frac{x + 7}{x + 8})

d er i v a t i v e cos (\frac{x}{2})

x \to 4 lim (\frac{x ^{2} - 8}{x ^{4}})

x \to 0 lim ((1 - \frac{x}{3})^{\frac{1}{x}})

d er i v a t i v e arctan (- 2 x)