integral from-2 to 2 of (1-x^2)

Lösung

\int_{- 2}^{2} (1 - x^{2}) d x

- \frac{4}{3}

Dezimale

- 1.33333 \dots

Schritte zur Lösung

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

\int_{- 2}^{2} 1 d x = 4

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

= 4 - \frac{16}{3}

Vereinfache

4 - \frac{16}{3} : - \frac{4}{3}

= - \frac{4}{3}

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

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

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

\int_{0}^{1} \frac{x}{( x ^{2} + 3 ) ^{3}} d x

\int_{0}^{s i n (2 x)} arcsin (t) d t