integral from 6 to 7 of t^2-2t-24

Lösung

\int_{6}^{7} t^{2} - 2 t - 24 d t

\frac{16}{3}

Dezimale

5.33333 \dots

Schritte zur Lösung

\int_{6}^{7} t^{2} - 2 t - 24 d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{6}^{7} t^{2} d t - \int_{6}^{7} 2 t d t - \int_{6}^{7} 24 d t

\int_{6}^{7} t^{2} d t = \frac{127}{3}

\int_{6}^{7} 2 t d t = 13

\int_{6}^{7} 24 d t = 24

= \frac{127}{3} - 13 - 24

Vereinfache

\frac{127}{3} - 13 - 24 : \frac{16}{3}

= \frac{16}{3}

\int_{\frac{1}{2}}^{1} (x^{- 3} - 23) d x

\int_{0}^{2} y sinh (y) d y

\int_{0}^{x} e^{- 2 t} d t

\int_{2}^{5} x e^{2 x} d x

\int_{5}^{2} 1