integral from-1 to 0 of x^3-x^2-2x

Lösung

\int_{- 1}^{0} x^{3} - x^{2} - 2 x d x

\frac{5}{12}

Dezimale

0.41666 \dots

Schritte zur Lösung

\int_{- 1}^{0} x^{3} - x^{2} - 2 x 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_{- 1}^{0} x^{3} d x - \int_{- 1}^{0} x^{2} d x - \int_{- 1}^{0} 2 x d x

\int_{- 1}^{0} x^{3} d x = - \frac{1}{4}

\int_{- 1}^{0} x^{2} d x = \frac{1}{3}

\int_{- 1}^{0} 2 x d x = - 1

= - \frac{1}{4} - \frac{1}{3} - (- 1)

Vereinfache

- \frac{1}{4} - \frac{1}{3} - (- 1) : \frac{5}{12}

= \frac{5}{12}

\int x^{4} cos (2 x) d x

a re a 9 - x^{2}, y = 0

\frac{d}{d x} (x sin (6 x))

\int 16 y^{3} + 9 y^{2} - 6 y + 3 d y

d er i v a t i v e f (x) = x^{4} 7 - 9 x