integral from-2 to 2 of 9-x^2

Lösung

\int_{- 2}^{2} 9 - x^{2} d x

\frac{92}{3}

Dezimale

30.66666 \dots

Schritte zur Lösung

\int_{- 2}^{2} 9 - 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}^{2} 9 d x - \int_{- 2}^{2} x^{2} d x

\int_{- 2}^{2} 9 d x = 36

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

= 36 - \frac{16}{3}

Vereinfache

36 - \frac{16}{3} : \frac{92}{3}

= \frac{92}{3}

\int_{0}^{π} co x (3 x) d x

\int_{1}^{2} \frac{2 x}{( x ^{2} + 3 ) ^{2}} d x

\int_{- 1}^{3} x^{2} - 2 x + 3 d x

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

\int_{0}^{3} 3^{2} - x^{2} d x