integral from-3 to 6 of 3x-5

Lösung

\int_{- 3}^{6} 3 x - 5 d x

- \frac{9}{2}

Dezimale

- 4.5

Schritte zur Lösung

\int_{- 3}^{6} 3 x - 5 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_{- 3}^{6} 3 x d x - \int_{- 3}^{6} 5 d x

\int_{- 3}^{6} 3 x d x = \frac{81}{2}

\int_{- 3}^{6} 5 d x = 45

= \frac{81}{2} - 45

Vereinfache

\frac{81}{2} - 45 : - \frac{9}{2}

= - \frac{9}{2}

\int_{0}^{1} (7 x^{2} - 8 x + 6) d x

\int_{1}^{5} x^{2} - 2 x - 15 d x

\int_{1}^{5} (3 x^{2}) d x

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

\int_{0}^{4} \frac{3}{5 x + 7} d x