integral from-2 to 2 of 3x^8-2

Lösung

\int_{- 2}^{2} 3 x^{8} - 2 d x

\frac{1000}{3}

Dezimale

333.33333 \dots

Schritte zur Lösung

\int_{- 2}^{2} 3 x^{8} - 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} 3 x^{8} d x - \int_{- 2}^{2} 2 d x

\int_{- 2}^{2} 3 x^{8} d x = \frac{1024}{3}

\int_{- 2}^{2} 2 d x = 8

= \frac{1024}{3} - 8

Vereinfache

\frac{1024}{3} - 8 : \frac{1000}{3}

= \frac{1000}{3}

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

\int_{0}^{2} x f (x^{2}) d x

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

\int_{- t}^{t} t d t

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