integral from-2 to-1 of (4x^3+2/(x^3))

Lösung

\int_{- 2}^{- 1} (4 x^{3} + \frac{2}{x ^{3}}) d x

- \frac{63}{4}

Dezimale

- 15.75

Schritte zur Lösung

\int_{- 2}^{- 1} 4 x^{3} + \frac{2}{x ^{3}} 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}^{- 1} 4 x^{3} d x + \int_{- 2}^{- 1} \frac{2}{x ^{3}} d x

\int_{- 2}^{- 1} 4 x^{3} d x = - 15

\int_{- 2}^{- 1} \frac{2}{x ^{3}} d x = - \frac{3}{4}

= - 15 - \frac{3}{4}

Vereinfache

- 15 - \frac{3}{4} : - \frac{63}{4}

= - \frac{63}{4}

\int_{0}^{4} \frac{1}{1 - x} d x

\int_{0}^{3} x^{2} - 6 x + 9 d x

\int_{0}^{1} 6 e^{3 x} d x

\int_{0}^{4} 6 - 2 x d x

\int_{- 2}^{5} (3 + x - 2 ∣ x ∣) d x