integral from-3 to 1 of x/(sqrt(9-x^2))

Lösung

\int_{- 3}^{1} \frac{x}{9 - x ^{2}} d x

- 22

Dezimale

- 2.82842 \dots

Schritte zur Lösung

\int_{- 3}^{1} \frac{x}{9 - x ^{2}} d x

Wende U-Substitution an

= \int_{0}^{8} - \frac{1}{2 u} d u

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \frac{1}{2} \cdot \int_{0}^{8} \frac{1}{u} d u

Wende die Potenzregel an

= - \frac{1}{2} [2 u^{\frac{1}{2}}]_{0}^{8}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= - \frac{1}{2} [2 u]_{0}^{8}

Berechne die Grenzen:

42

= - \frac{1}{2} \cdot 42

Vereinfache

= - 22

\int \frac{e ^{2 x}}{e ^{2 x} + 6} d x

\frac{d}{d x} (- 2 (- 2 e^{- x^{2}} x^{2} + e^{- x^{2}}))

\frac{d}{d x} (r (x) cos^{2} (r (x) x))

t an g e n t f (x) = \frac{2}{x + 1}, at x = 3, y = 1

d er i v a t i v e x - 2 x