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

Lösung

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

- \frac{145}{9}

Dezimale

- 16.11111 \dots

Schritte zur Lösung

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

\int_{- 2}^{3} \frac{x ^{2}}{3} d x = \frac{35}{9}

\int_{- 2}^{3} 4 d x = 20

= \frac{35}{9} - 20

Vereinfache

\frac{35}{9} - 20 : - \frac{145}{9}

= - \frac{145}{9}

\int_{- 1}^{1} 2 1 - y^{2} d y

\int_{8}^{20} 1 d x

\int_{l}^{u} t \cdot r \cdot e^{- t \cdot r} d t

\int_{8}^{0} (2 x^{2} + x + 2) d x

\int_{0}^{1} (x - 1 - x^{2}) d x