integral from-2 to 0 of (2+sqrt(4-x^2))

Lösung

\int_{- 2}^{0} (2 + 4 - x^{2}) d x

4 + π

Dezimale

7.14159 \dots

Schritte zur Lösung

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

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

\int_{- 2}^{0} 4 - x^{2} d x = π

= 4 + π

\int \frac{4 x - 11}{2 x ^{2} + 7 x - 4} d x

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

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

\int_{1}^{5} (x + 1)^{2} d x

d er i v a t i v e (t^{2} + 1) (t - \frac{1}{t})