integral from-2 to 3 of (x^2-4)

Lösung

\int_{- 2}^{3} (x^{2} - 4) d x

- \frac{25}{3}

Dezimale

- 8.33333 \dots

Schritte zur Lösung

\int_{- 2}^{3} x^{2} - 4 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}^{3} x^{2} d x - \int_{- 2}^{3} 4 d x

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

\int_{- 2}^{3} 4 d x = 20

= \frac{35}{3} - 20

Vereinfache

\frac{35}{3} - 20 : - \frac{25}{3}

= - \frac{25}{3}

\int \frac{2 x}{x ^{2} + 6 x + 13} d x

n = 1 \sum \infty \frac{1}{2} n

\int sin (7 x) cos (5 x) d x

h \to 0 lim (\frac{3 e ^{h} - 3}{h})

\int_{- \infty}^{0} \frac{x}{x ^{4} + 4} d x