integral from-2 to 4 of |t^2-2t-3|

Lösung

\int_{- 2}^{4} t^{2} - 2 t - 3 d t

\frac{46}{3}

Dezimale

15.33333 \dots

Schritte zur Lösung

\int_{- 2}^{4} t^{2} - 2 t - 3 d t

Entferne die Extremwerte

= \int_{- 2}^{- 1} t^{2} - 2 t - 3 d t + \int_{- 1}^{3} - t^{2} + 2 t + 3 d t + \int_{3}^{4} t^{2} - 2 t - 3 d t

\int_{- 2}^{- 1} t^{2} - 2 t - 3 d t = \frac{7}{3}

\int_{- 1}^{3} - t^{2} + 2 t + 3 d t = \frac{32}{3}

\int_{3}^{4} t^{2} - 2 t - 3 d t = \frac{7}{3}

= \frac{7}{3} + \frac{32}{3} + \frac{7}{3}

Vereinfache

\frac{7}{3} + \frac{32}{3} + \frac{7}{3} : \frac{46}{3}

= \frac{46}{3}

f^{^{'}} (x) = 2 x^{2} + 3 x - 2

\frac{\partial}{\partial x} (x^{4} y - x^{2} y^{3})

d er i v a t i v e y = 3 x^{2} + \frac{4 x}{3} - 2

d er i v a t i v e \frac{3}{r ^{3}}

\frac{d y}{d x} = \frac{1 - y ^{2}}{x}